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Finding the Fourth Proportional to 12,643.98, 18,920.07 and 9,141

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Solution

The fourth proportional to 12,643.98, 18,920.07 and 9,141 is: 13,678.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,643.98 : 18,920.07 = 9,141 : x
  2. Step 2: Convert to fraction form
    12,643.98/18,920.07 = 9,141/x
  3. Step 3: Cross multiply
    12,643.98x = 18,920.07 × 9,141
  4. Step 4: Simplify right side
    12,643.98x = 172,948,359.87
  5. Step 5: Solve for x
    x = 172,948,359.87/12,643.98
  6. Step 6: Final answer
    x = 13,678.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.