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Finding the Fourth Proportional to 25,128, 37,709.28 and 8,712

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Solution

The fourth proportional to 25,128, 37,709.28 and 8,712 is: 13,073.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,128 : 37,709.28 = 8,712 : x
  2. Step 2: Convert to fraction form
    25,128/37,709.28 = 8,712/x
  3. Step 3: Cross multiply
    25,128x = 37,709.28 × 8,712
  4. Step 4: Simplify right side
    25,128x = 328,523,247.36
  5. Step 5: Solve for x
    x = 328,523,247.36/25,128
  6. Step 6: Final answer
    x = 13,073.99

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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.