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Finding the Fourth Proportional to 42,974.03, 64,461.87 and 14,895

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Solution

The fourth proportional to 42,974.03, 64,461.87 and 14,895 is: 22,342.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,974.03 : 64,461.87 = 14,895 : x
  2. Step 2: Convert to fraction form
    42,974.03/64,461.87 = 14,895/x
  3. Step 3: Cross multiply
    42,974.03x = 64,461.87 × 14,895
  4. Step 4: Simplify right side
    42,974.03x = 960,159,553.65
  5. Step 5: Solve for x
    x = 960,159,553.65/42,974.03
  6. Step 6: Final answer
    x = 22,342.79

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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.