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Finding the Fourth Proportional to 12,854.40, 17,739.20 and 7,549.30

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Solution

The fourth proportional to 12,854.40, 17,739.20 and 7,549.30 is: 10,418.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,854.40 : 17,739.20 = 7,549.30 : x
  2. Step 2: Convert to fraction form
    12,854.40/17,739.20 = 7,549.30/x
  3. Step 3: Cross multiply
    12,854.40x = 17,739.20 × 7,549.30
  4. Step 4: Simplify right side
    12,854.40x = 133,918,583.61
  5. Step 5: Solve for x
    x = 133,918,583.61/12,854.40
  6. Step 6: Final answer
    x = 10,418.12

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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.