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Finding the Fourth Proportional to 10,234.30, 15,339.30 and 9,189.40

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Solution

The fourth proportional to 10,234.30, 15,339.30 and 9,189.40 is: 13,773.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,234.30 : 15,339.30 = 9,189.40 : x
  2. Step 2: Convert to fraction form
    10,234.30/15,339.30 = 9,189.40/x
  3. Step 3: Cross multiply
    10,234.30x = 15,339.30 × 9,189.40
  4. Step 4: Simplify right side
    10,234.30x = 140,958,963.42
  5. Step 5: Solve for x
    x = 140,958,963.42/10,234.30
  6. Step 6: Final answer
    x = 13,773.19

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1.5x scale

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.