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Finding the Fourth Proportional to 7,155.48, 9,864.48 and 6,171.24

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Solution

The fourth proportional to 7,155.48, 9,864.48 and 6,171.24 is: 8,507.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,155.48 : 9,864.48 = 6,171.24 : x
  2. Step 2: Convert to fraction form
    7,155.48/9,864.48 = 6,171.24/x
  3. Step 3: Cross multiply
    7,155.48x = 9,864.48 × 6,171.24
  4. Step 4: Simplify right side
    7,155.48x = 60,876,073.56
  5. Step 5: Solve for x
    x = 60,876,073.56/7,155.48
  6. Step 6: Final answer
    x = 8,507.62

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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.