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Finding the Fourth Proportional to 25,471.72, 35,151.09 and 15,917.15

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Solution

The fourth proportional to 25,471.72, 35,151.09 and 15,917.15 is: 21,965.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,471.72 : 35,151.09 = 15,917.15 : x
  2. Step 2: Convert to fraction form
    25,471.72/35,151.09 = 15,917.15/x
  3. Step 3: Cross multiply
    25,471.72x = 35,151.09 × 15,917.15
  4. Step 4: Simplify right side
    25,471.72x = 559,505,319.76
  5. Step 5: Solve for x
    x = 559,505,319.76/25,471.72
  6. Step 6: Final answer
    x = 21,965.75

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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.