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Finding the Fourth Proportional to 6,998.42, 9,656.07 and 5,669.63

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Solution

The fourth proportional to 6,998.42, 9,656.07 and 5,669.63 is: 7,822.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,998.42 : 9,656.07 = 5,669.63 : x
  2. Step 2: Convert to fraction form
    6,998.42/9,656.07 = 5,669.63/x
  3. Step 3: Cross multiply
    6,998.42x = 9,656.07 × 5,669.63
  4. Step 4: Simplify right side
    6,998.42x = 54,746,344.15
  5. Step 5: Solve for x
    x = 54,746,344.15/6,998.42
  6. Step 6: Final answer
    x = 7,822.67

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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 (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.