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Finding the Fourth Proportional to 25,384.56, 38,076.96 and 7,854.48

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Solution

The fourth proportional to 25,384.56, 38,076.96 and 7,854.48 is: 11,781.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,384.56 : 38,076.96 = 7,854.48 : x
  2. Step 2: Convert to fraction form
    25,384.56/38,076.96 = 7,854.48/x
  3. Step 3: Cross multiply
    25,384.56x = 38,076.96 × 7,854.48
  4. Step 4: Simplify right side
    25,384.56x = 299,074,720.78
  5. Step 5: Solve for x
    x = 299,074,720.78/25,384.56
  6. Step 6: Final answer
    x = 11,781.76

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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.