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Finding the Fourth Proportional to 16,543, 22,829.70 and 9,091

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Solution

The fourth proportional to 16,543, 22,829.70 and 9,091 is: 12,545.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,543 : 22,829.70 = 9,091 : x
  2. Step 2: Convert to fraction form
    16,543/22,829.70 = 9,091/x
  3. Step 3: Cross multiply
    16,543x = 22,829.70 × 9,091
  4. Step 4: Simplify right side
    16,543x = 207,544,802.70
  5. Step 5: Solve for x
    x = 207,544,802.70/16,543
  6. Step 6: Final answer
    x = 12,545.78

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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.