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Finding the Fourth Proportional to 11,487.60, 15,854.38 and 7,010.42

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Solution

The fourth proportional to 11,487.60, 15,854.38 and 7,010.42 is: 9,675.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,487.60 : 15,854.38 = 7,010.42 : x
  2. Step 2: Convert to fraction form
    11,487.60/15,854.38 = 7,010.42/x
  3. Step 3: Cross multiply
    11,487.60x = 15,854.38 × 7,010.42
  4. Step 4: Simplify right side
    11,487.60x = 111,145,862.64
  5. Step 5: Solve for x
    x = 111,145,862.64/11,487.60
  6. Step 6: Final answer
    x = 9,675.29

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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.