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Finding the Fourth Proportional to 25,885.91, 38,828.92 and 7,874.29

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Solution

The fourth proportional to 25,885.91, 38,828.92 and 7,874.29 is: 11,811.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,885.91 : 38,828.92 = 7,874.29 : x
  2. Step 2: Convert to fraction form
    25,885.91/38,828.92 = 7,874.29/x
  3. Step 3: Cross multiply
    25,885.91x = 38,828.92 × 7,874.29
  4. Step 4: Simplify right side
    25,885.91x = 305,750,079.39
  5. Step 5: Solve for x
    x = 305,750,079.39/25,885.91
  6. Step 6: Final answer
    x = 11,811.45

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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.