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Finding the Fourth Proportional to 22,446, 30,978.48 and 14,511.36

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Solution

The fourth proportional to 22,446, 30,978.48 and 14,511.36 is: 20,027.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,446 : 30,978.48 = 14,511.36 : x
  2. Step 2: Convert to fraction form
    22,446/30,978.48 = 14,511.36/x
  3. Step 3: Cross multiply
    22,446x = 30,978.48 × 14,511.36
  4. Step 4: Simplify right side
    22,446x = 449,539,875.53
  5. Step 5: Solve for x
    x = 449,539,875.53/22,446
  6. Step 6: Final answer
    x = 20,027.62

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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.