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Finding the Fourth Proportional to 12,757.80, 17,595.78 and 9,398.76

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Solution

The fourth proportional to 12,757.80, 17,595.78 and 9,398.76 is: 12,962.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,757.80 : 17,595.78 = 9,398.76 : x
  2. Step 2: Convert to fraction form
    12,757.80/17,595.78 = 9,398.76/x
  3. Step 3: Cross multiply
    12,757.80x = 17,595.78 × 9,398.76
  4. Step 4: Simplify right side
    12,757.80x = 165,378,513.23
  5. Step 5: Solve for x
    x = 165,378,513.23/12,757.80
  6. Step 6: Final answer
    x = 12,962.93

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Half scale
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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.