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Finding the Fourth Proportional to 21,039.84, 31,572 and 8,557.92

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Solution

The fourth proportional to 21,039.84, 31,572 and 8,557.92 is: 12,841.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,039.84 : 31,572 = 8,557.92 : x
  2. Step 2: Convert to fraction form
    21,039.84/31,572 = 8,557.92/x
  3. Step 3: Cross multiply
    21,039.84x = 31,572 × 8,557.92
  4. Step 4: Simplify right side
    21,039.84x = 270,190,650.24
  5. Step 5: Solve for x
    x = 270,190,650.24/21,039.84
  6. Step 6: Final answer
    x = 12,841.86

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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.