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Finding the Fourth Proportional to 12,966.30, 17,893.56 and 7,377.30

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Solution

The fourth proportional to 12,966.30, 17,893.56 and 7,377.30 is: 10,180.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,966.30 : 17,893.56 = 7,377.30 : x
  2. Step 2: Convert to fraction form
    12,966.30/17,893.56 = 7,377.30/x
  3. Step 3: Cross multiply
    12,966.30x = 17,893.56 × 7,377.30
  4. Step 4: Simplify right side
    12,966.30x = 132,006,160.19
  5. Step 5: Solve for x
    x = 132,006,160.19/12,966.30
  6. Step 6: Final answer
    x = 10,180.71

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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.