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Finding the Fourth Proportional to 12,847.47, 17,729.18 and 7,811.83

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Solution

The fourth proportional to 12,847.47, 17,729.18 and 7,811.83 is: 10,780.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,847.47 : 17,729.18 = 7,811.83 : x
  2. Step 2: Convert to fraction form
    12,847.47/17,729.18 = 7,811.83/x
  3. Step 3: Cross multiply
    12,847.47x = 17,729.18 × 7,811.83
  4. Step 4: Simplify right side
    12,847.47x = 138,497,301.14
  5. Step 5: Solve for x
    x = 138,497,301.14/12,847.47
  6. Step 6: Final answer
    x = 10,780.13

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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.