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Finding the Fourth Proportional to 25,805.32, 38,708.22 and 9,165.64

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Solution

The fourth proportional to 25,805.32, 38,708.22 and 9,165.64 is: 13,748.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,805.32 : 38,708.22 = 9,165.64 : x
  2. Step 2: Convert to fraction form
    25,805.32/38,708.22 = 9,165.64/x
  3. Step 3: Cross multiply
    25,805.32x = 38,708.22 × 9,165.64
  4. Step 4: Simplify right side
    25,805.32x = 354,785,609.56
  5. Step 5: Solve for x
    x = 354,785,609.56/25,805.32
  6. Step 6: Final answer
    x = 13,748.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.