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Finding the Fourth Proportional to 25,354, 38,031.15 and 6,886

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Solution

The fourth proportional to 25,354, 38,031.15 and 6,886 is: 10,329.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,354 : 38,031.15 = 6,886 : x
  2. Step 2: Convert to fraction form
    25,354/38,031.15 = 6,886/x
  3. Step 3: Cross multiply
    25,354x = 38,031.15 × 6,886
  4. Step 4: Simplify right side
    25,354x = 261,882,498.90
  5. Step 5: Solve for x
    x = 261,882,498.90/25,354
  6. Step 6: Final answer
    x = 10,329.04

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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.