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Finding the Fourth Proportional to 21,758.53, 32,640.06 and 9,279.87

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Solution

The fourth proportional to 21,758.53, 32,640.06 and 9,279.87 is: 13,920.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,758.53 : 32,640.06 = 9,279.87 : x
  2. Step 2: Convert to fraction form
    21,758.53/32,640.06 = 9,279.87/x
  3. Step 3: Cross multiply
    21,758.53x = 32,640.06 × 9,279.87
  4. Step 4: Simplify right side
    21,758.53x = 302,895,513.59
  5. Step 5: Solve for x
    x = 302,895,513.59/21,758.53
  6. Step 6: Final answer
    x = 13,920.77

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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.