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Finding the Fourth Proportional to 21,005.62, 28,978.31 and 14,197.46

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Solution

The fourth proportional to 21,005.62, 28,978.31 and 14,197.46 is: 19,586.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,005.62 : 28,978.31 = 14,197.46 : x
  2. Step 2: Convert to fraction form
    21,005.62/28,978.31 = 14,197.46/x
  3. Step 3: Cross multiply
    21,005.62x = 28,978.31 × 14,197.46
  4. Step 4: Simplify right side
    21,005.62x = 411,418,287.69
  5. Step 5: Solve for x
    x = 411,418,287.69/21,005.62
  6. Step 6: Final answer
    x = 19,586.11

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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.