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Finding the Fourth Proportional to 22,140, 30,553.35 and 13,187.88

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Solution

The fourth proportional to 22,140, 30,553.35 and 13,187.88 is: 18,199.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,140 : 30,553.35 = 13,187.88 : x
  2. Step 2: Convert to fraction form
    22,140/30,553.35 = 13,187.88/x
  3. Step 3: Cross multiply
    22,140x = 30,553.35 × 13,187.88
  4. Step 4: Simplify right side
    22,140x = 402,933,913.40
  5. Step 5: Solve for x
    x = 402,933,913.40/22,140
  6. Step 6: Final answer
    x = 18,199.36

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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.