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Finding the Fourth Proportional to 32,765, 45,215.72 and 17,861

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Solution

The fourth proportional to 32,765, 45,215.72 and 17,861 is: 24,648.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,765 : 45,215.72 = 17,861 : x
  2. Step 2: Convert to fraction form
    32,765/45,215.72 = 17,861/x
  3. Step 3: Cross multiply
    32,765x = 45,215.72 × 17,861
  4. Step 4: Simplify right side
    32,765x = 807,597,974.92
  5. Step 5: Solve for x
    x = 807,597,974.92/32,765
  6. Step 6: Final answer
    x = 24,648.19

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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.