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Finding the Fourth Proportional to 12,560.76, 17,332.08 and 7,523.80

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Solution

The fourth proportional to 12,560.76, 17,332.08 and 7,523.80 is: 10,381.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,560.76 : 17,332.08 = 7,523.80 : x
  2. Step 2: Convert to fraction form
    12,560.76/17,332.08 = 7,523.80/x
  3. Step 3: Cross multiply
    12,560.76x = 17,332.08 × 7,523.80
  4. Step 4: Simplify right side
    12,560.76x = 130,403,103.50
  5. Step 5: Solve for x
    x = 130,403,103.50/12,560.76
  6. Step 6: Final answer
    x = 10,381.78

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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.