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Finding the Fourth Proportional to 12,595.64, 17,380.91 and 7,290.78

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Solution

The fourth proportional to 12,595.64, 17,380.91 and 7,290.78 is: 10,060.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,595.64 : 17,380.91 = 7,290.78 : x
  2. Step 2: Convert to fraction form
    12,595.64/17,380.91 = 7,290.78/x
  3. Step 3: Cross multiply
    12,595.64x = 17,380.91 × 7,290.78
  4. Step 4: Simplify right side
    12,595.64x = 126,720,391.01
  5. Step 5: Solve for x
    x = 126,720,391.01/12,595.64
  6. Step 6: Final answer
    x = 10,060.66

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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.