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Finding the Fourth Proportional to 7,565.74, 10,488.57 and 7,165.85

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Solution

The fourth proportional to 7,565.74, 10,488.57 and 7,165.85 is: 9,934.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,565.74 : 10,488.57 = 7,165.85 : x
  2. Step 2: Convert to fraction form
    7,565.74/10,488.57 = 7,165.85/x
  3. Step 3: Cross multiply
    7,565.74x = 10,488.57 × 7,165.85
  4. Step 4: Simplify right side
    7,565.74x = 75,159,519.33
  5. Step 5: Solve for x
    x = 75,159,519.33/7,565.74
  6. Step 6: Final answer
    x = 9,934.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.