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Finding the Fourth Proportional to 25,878, 38,808.74 and 8,343.74

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Solution

The fourth proportional to 25,878, 38,808.74 and 8,343.74 is: 12,512.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,878 : 38,808.74 = 8,343.74 : x
  2. Step 2: Convert to fraction form
    25,878/38,808.74 = 8,343.74/x
  3. Step 3: Cross multiply
    25,878x = 38,808.74 × 8,343.74
  4. Step 4: Simplify right side
    25,878x = 323,810,036.29
  5. Step 5: Solve for x
    x = 323,810,036.29/25,878
  6. Step 6: Final answer
    x = 12,512.95

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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.