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Finding the Fourth Proportional to 11,572.60, 15,958.24 and 9,899.54

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Solution

The fourth proportional to 11,572.60, 15,958.24 and 9,899.54 is: 13,651.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,572.60 : 15,958.24 = 9,899.54 : x
  2. Step 2: Convert to fraction form
    11,572.60/15,958.24 = 9,899.54/x
  3. Step 3: Cross multiply
    11,572.60x = 15,958.24 × 9,899.54
  4. Step 4: Simplify right side
    11,572.60x = 157,979,250.36
  5. Step 5: Solve for x
    x = 157,979,250.36/11,572.60
  6. Step 6: Final answer
    x = 13,651.15

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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.