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Finding the Fourth Proportional to 7,862.20, 11,805.14 and 7,609.78

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Solution

The fourth proportional to 7,862.20, 11,805.14 and 7,609.78 is: 11,426.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,862.20 : 11,805.14 = 7,609.78 : x
  2. Step 2: Convert to fraction form
    7,862.20/11,805.14 = 7,609.78/x
  3. Step 3: Cross multiply
    7,862.20x = 11,805.14 × 7,609.78
  4. Step 4: Simplify right side
    7,862.20x = 89,834,518.27
  5. Step 5: Solve for x
    x = 89,834,518.27/7,862.20
  6. Step 6: Final answer
    x = 11,426.13

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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.