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Finding the Fourth Proportional to 21,358.98, 29,477 and 12,287.11

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Solution

The fourth proportional to 21,358.98, 29,477 and 12,287.11 is: 16,957.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,358.98 : 29,477 = 12,287.11 : x
  2. Step 2: Convert to fraction form
    21,358.98/29,477 = 12,287.11/x
  3. Step 3: Cross multiply
    21,358.98x = 29,477 × 12,287.11
  4. Step 4: Simplify right side
    21,358.98x = 362,187,141.47
  5. Step 5: Solve for x
    x = 362,187,141.47/21,358.98
  6. Step 6: Final answer
    x = 16,957.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.