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Finding the Fourth Proportional to 7,155.64, 9,822.11 and 6,352.12

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Solution

The fourth proportional to 7,155.64, 9,822.11 and 6,352.12 is: 8,719.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,155.64 : 9,822.11 = 6,352.12 : x
  2. Step 2: Convert to fraction form
    7,155.64/9,822.11 = 6,352.12/x
  3. Step 3: Cross multiply
    7,155.64x = 9,822.11 × 6,352.12
  4. Step 4: Simplify right side
    7,155.64x = 62,391,221.37
  5. Step 5: Solve for x
    x = 62,391,221.37/7,155.64
  6. Step 6: Final answer
    x = 8,719.17

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Half scale
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Double scale
Find fourth proportional to 7,156.64, 9,823.48 and 6,353.12
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.