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Finding the Fourth Proportional to 21,252.68, 31,878.76 and 9,557.64

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Solution

The fourth proportional to 21,252.68, 31,878.76 and 9,557.64 is: 14,336.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,252.68 : 31,878.76 = 9,557.64 : x
  2. Step 2: Convert to fraction form
    21,252.68/31,878.76 = 9,557.64/x
  3. Step 3: Cross multiply
    21,252.68x = 31,878.76 × 9,557.64
  4. Step 4: Simplify right side
    21,252.68x = 304,685,711.73
  5. Step 5: Solve for x
    x = 304,685,711.73/21,252.68
  6. Step 6: Final answer
    x = 14,336.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.