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Finding the Fourth Proportional to 12,713.13, 17,543.81 and 7,047.77

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Solution

The fourth proportional to 12,713.13, 17,543.81 and 7,047.77 is: 9,725.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,713.13 : 17,543.81 = 7,047.77 : x
  2. Step 2: Convert to fraction form
    12,713.13/17,543.81 = 7,047.77/x
  3. Step 3: Cross multiply
    12,713.13x = 17,543.81 × 7,047.77
  4. Step 4: Simplify right side
    12,713.13x = 123,644,799.28
  5. Step 5: Solve for x
    x = 123,644,799.28/12,713.13
  6. Step 6: Final answer
    x = 9,725.76

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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.