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Finding the Fourth Proportional to 25,125, 37,704.78 and 8,709

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Solution

The fourth proportional to 25,125, 37,704.78 and 8,709 is: 13,069.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,125 : 37,704.78 = 8,709 : x
  2. Step 2: Convert to fraction form
    25,125/37,704.78 = 8,709/x
  3. Step 3: Cross multiply
    25,125x = 37,704.78 × 8,709
  4. Step 4: Simplify right side
    25,125x = 328,370,929.02
  5. Step 5: Solve for x
    x = 328,370,929.02/25,125
  6. Step 6: Final answer
    x = 13,069.49

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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.