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Finding the Fourth Proportional to 25,031.86, 34,543.87 and 13,546.74

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Solution

The fourth proportional to 25,031.86, 34,543.87 and 13,546.74 is: 18,694.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,031.86 : 34,543.87 = 13,546.74 : x
  2. Step 2: Convert to fraction form
    25,031.86/34,543.87 = 13,546.74/x
  3. Step 3: Cross multiply
    25,031.86x = 34,543.87 × 13,546.74
  4. Step 4: Simplify right side
    25,031.86x = 467,956,921.16
  5. Step 5: Solve for x
    x = 467,956,921.16/25,031.86
  6. Step 6: Final answer
    x = 18,694.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.