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Finding the Fourth Proportional to 10,158.74, 15,241.74 and 7,380.70

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Solution

The fourth proportional to 10,158.74, 15,241.74 and 7,380.70 is: 11,073.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,158.74 : 15,241.74 = 7,380.70 : x
  2. Step 2: Convert to fraction form
    10,158.74/15,241.74 = 7,380.70/x
  3. Step 3: Cross multiply
    10,158.74x = 15,241.74 × 7,380.70
  4. Step 4: Simplify right side
    10,158.74x = 112,494,710.42
  5. Step 5: Solve for x
    x = 112,494,710.42/10,158.74
  6. Step 6: Final answer
    x = 11,073.69

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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.