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Finding the Fourth Proportional to 10,138.60, 15,207.90 and 9,231.40

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Solution

The fourth proportional to 10,138.60, 15,207.90 and 9,231.40 is: 13,847.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,138.60 : 15,207.90 = 9,231.40 : x
  2. Step 2: Convert to fraction form
    10,138.60/15,207.90 = 9,231.40/x
  3. Step 3: Cross multiply
    10,138.60x = 15,207.90 × 9,231.40
  4. Step 4: Simplify right side
    10,138.60x = 140,390,208.06
  5. Step 5: Solve for x
    x = 140,390,208.06/10,138.60
  6. Step 6: Final answer
    x = 13,847.10

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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.