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Finding the Fourth Proportional to 7,864.91, 10,854.63 and 7,200.57

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Solution

The fourth proportional to 7,864.91, 10,854.63 and 7,200.57 is: 9,937.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,864.91 : 10,854.63 = 7,200.57 : x
  2. Step 2: Convert to fraction form
    7,864.91/10,854.63 = 7,200.57/x
  3. Step 3: Cross multiply
    7,864.91x = 10,854.63 × 7,200.57
  4. Step 4: Simplify right side
    7,864.91x = 78,159,523.14
  5. Step 5: Solve for x
    x = 78,159,523.14/7,864.91
  6. Step 6: Final answer
    x = 9,937.75

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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.