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Finding the Fourth Proportional to 12,765.74, 17,613.86 and 7,387.34

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Solution

The fourth proportional to 12,765.74, 17,613.86 and 7,387.34 is: 10,192.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,765.74 : 17,613.86 = 7,387.34 : x
  2. Step 2: Convert to fraction form
    12,765.74/17,613.86 = 7,387.34/x
  3. Step 3: Cross multiply
    12,765.74x = 17,613.86 × 7,387.34
  4. Step 4: Simplify right side
    12,765.74x = 130,119,572.53
  5. Step 5: Solve for x
    x = 130,119,572.53/12,765.74
  6. Step 6: Final answer
    x = 10,192.87

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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.