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Finding the Fourth Proportional to 21,252.04, 31,878 and 10,124.98

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Solution

The fourth proportional to 21,252.04, 31,878 and 10,124.98 is: 15,187.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,252.04 : 31,878 = 10,124.98 : x
  2. Step 2: Convert to fraction form
    21,252.04/31,878 = 10,124.98/x
  3. Step 3: Cross multiply
    21,252.04x = 31,878 × 10,124.98
  4. Step 4: Simplify right side
    21,252.04x = 322,764,112.44
  5. Step 5: Solve for x
    x = 322,764,112.44/21,252.04
  6. Step 6: Final answer
    x = 15,187.44

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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.