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Finding the Fourth Proportional to 10,034.79, 13,853.22 and 9,372.21

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Solution

The fourth proportional to 10,034.79, 13,853.22 and 9,372.21 is: 12,938.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,034.79 : 13,853.22 = 9,372.21 : x
  2. Step 2: Convert to fraction form
    10,034.79/13,853.22 = 9,372.21/x
  3. Step 3: Cross multiply
    10,034.79x = 13,853.22 × 9,372.21
  4. Step 4: Simplify right side
    10,034.79x = 129,835,287.02
  5. Step 5: Solve for x
    x = 129,835,287.02/10,034.79
  6. Step 6: Final answer
    x = 12,938.52

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1.5x scale

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.