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Finding the Fourth Proportional to 12,760.93, 17,590.49 and 8,283.97

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Solution

The fourth proportional to 12,760.93, 17,590.49 and 8,283.97 is: 11,419.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,760.93 : 17,590.49 = 8,283.97 : x
  2. Step 2: Convert to fraction form
    12,760.93/17,590.49 = 8,283.97/x
  3. Step 3: Cross multiply
    12,760.93x = 17,590.49 × 8,283.97
  4. Step 4: Simplify right side
    12,760.93x = 145,719,091.45
  5. Step 5: Solve for x
    x = 145,719,091.45/12,760.93
  6. Step 6: Final answer
    x = 11,419.16

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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.