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Finding the Fourth Proportional to 5,101, 7,652.28 and 4,218.37

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Solution

The fourth proportional to 5,101, 7,652.28 and 4,218.37 is: 6,328.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,101 : 7,652.28 = 4,218.37 : x
  2. Step 2: Convert to fraction form
    5,101/7,652.28 = 4,218.37/x
  3. Step 3: Cross multiply
    5,101x = 7,652.28 × 4,218.37
  4. Step 4: Simplify right side
    5,101x = 32,280,148.38
  5. Step 5: Solve for x
    x = 32,280,148.38/5,101
  6. Step 6: Final answer
    x = 6,328.20

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.