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Finding the Fourth Proportional to 12,890.68, 17,790.28 and 7,512.82

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Solution

The fourth proportional to 12,890.68, 17,790.28 and 7,512.82 is: 10,368.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,890.68 : 17,790.28 = 7,512.82 : x
  2. Step 2: Convert to fraction form
    12,890.68/17,790.28 = 7,512.82/x
  3. Step 3: Cross multiply
    12,890.68x = 17,790.28 × 7,512.82
  4. Step 4: Simplify right side
    12,890.68x = 133,655,250.46
  5. Step 5: Solve for x
    x = 133,655,250.46/12,890.68
  6. Step 6: Final answer
    x = 10,368.36

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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.