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Finding the Fourth Proportional to 22,029.62, 30,416.68 and 13,543.13

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Solution

The fourth proportional to 22,029.62, 30,416.68 and 13,543.13 is: 18,699.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,029.62 : 30,416.68 = 13,543.13 : x
  2. Step 2: Convert to fraction form
    22,029.62/30,416.68 = 13,543.13/x
  3. Step 3: Cross multiply
    22,029.62x = 30,416.68 × 13,543.13
  4. Step 4: Simplify right side
    22,029.62x = 411,936,865.47
  5. Step 5: Solve for x
    x = 411,936,865.47/22,029.62
  6. Step 6: Final answer
    x = 18,699.22

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