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Finding the Fourth Proportional to 25,386.92, 38,080.38 and 7,856.90

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Solution

The fourth proportional to 25,386.92, 38,080.38 and 7,856.90 is: 11,785.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,386.92 : 38,080.38 = 7,856.90 : x
  2. Step 2: Convert to fraction form
    25,386.92/38,080.38 = 7,856.90/x
  3. Step 3: Cross multiply
    25,386.92x = 38,080.38 × 7,856.90
  4. Step 4: Simplify right side
    25,386.92x = 299,193,737.62
  5. Step 5: Solve for x
    x = 299,193,737.62/25,386.92
  6. Step 6: Final answer
    x = 11,785.35

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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.