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Finding the Fourth Proportional to 25,129.61, 37,695.21 and 12,642.82

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Solution

The fourth proportional to 25,129.61, 37,695.21 and 12,642.82 is: 18,964.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,129.61 : 37,695.21 = 12,642.82 : x
  2. Step 2: Convert to fraction form
    25,129.61/37,695.21 = 12,642.82/x
  3. Step 3: Cross multiply
    25,129.61x = 37,695.21 × 12,642.82
  4. Step 4: Simplify right side
    25,129.61x = 476,573,754.89
  5. Step 5: Solve for x
    x = 476,573,754.89/25,129.61
  6. Step 6: Final answer
    x = 18,964.63

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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.