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Finding the Fourth Proportional to 12,438.32, 18,657.48 and 10,242.48

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Solution

The fourth proportional to 12,438.32, 18,657.48 and 10,242.48 is: 15,363.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,438.32 : 18,657.48 = 10,242.48 : x
  2. Step 2: Convert to fraction form
    12,438.32/18,657.48 = 10,242.48/x
  3. Step 3: Cross multiply
    12,438.32x = 18,657.48 × 10,242.48
  4. Step 4: Simplify right side
    12,438.32x = 191,098,865.75
  5. Step 5: Solve for x
    x = 191,098,865.75/12,438.32
  6. Step 6: Final answer
    x = 15,363.72

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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.