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Finding the Fourth Proportional to 21,051.52, 31,549.94 and 8,557

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Solution

The fourth proportional to 21,051.52, 31,549.94 and 8,557 is: 12,824.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,051.52 : 31,549.94 = 8,557 : x
  2. Step 2: Convert to fraction form
    21,051.52/31,549.94 = 8,557/x
  3. Step 3: Cross multiply
    21,051.52x = 31,549.94 × 8,557
  4. Step 4: Simplify right side
    21,051.52x = 269,972,836.58
  5. Step 5: Solve for x
    x = 269,972,836.58/21,051.52
  6. Step 6: Final answer
    x = 12,824.39

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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.