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Finding the Fourth Proportional to 12,542.40, 17,311.62 and 7,240.40

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Solution

The fourth proportional to 12,542.40, 17,311.62 and 7,240.40 is: 9,993.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,542.40 : 17,311.62 = 7,240.40 : x
  2. Step 2: Convert to fraction form
    12,542.40/17,311.62 = 7,240.40/x
  3. Step 3: Cross multiply
    12,542.40x = 17,311.62 × 7,240.40
  4. Step 4: Simplify right side
    12,542.40x = 125,343,053.45
  5. Step 5: Solve for x
    x = 125,343,053.45/12,542.40
  6. Step 6: Final answer
    x = 9,993.55

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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.