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Finding the Fourth Proportional to 7,708.56, 11,547.17 and 6,151.20

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Solution

The fourth proportional to 7,708.56, 11,547.17 and 6,151.20 is: 9,214.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,708.56 : 11,547.17 = 6,151.20 : x
  2. Step 2: Convert to fraction form
    7,708.56/11,547.17 = 6,151.20/x
  3. Step 3: Cross multiply
    7,708.56x = 11,547.17 × 6,151.20
  4. Step 4: Simplify right side
    7,708.56x = 71,028,952.10
  5. Step 5: Solve for x
    x = 71,028,952.10/7,708.56
  6. Step 6: Final answer
    x = 9,214.30

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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.