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Finding the Fourth Proportional to 7,864.66, 10,854.47 and 5,747.14

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Solution

The fourth proportional to 7,864.66, 10,854.47 and 5,747.14 is: 7,931.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,864.66 : 10,854.47 = 5,747.14 : x
  2. Step 2: Convert to fraction form
    7,864.66/10,854.47 = 5,747.14/x
  3. Step 3: Cross multiply
    7,864.66x = 10,854.47 × 5,747.14
  4. Step 4: Simplify right side
    7,864.66x = 62,382,147.14
  5. Step 5: Solve for x
    x = 62,382,147.14/7,864.66
  6. Step 6: Final answer
    x = 7,931.96

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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.