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Finding the Fourth Proportional to 25,454, 38,181.72 and 6,986

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Solution

The fourth proportional to 25,454, 38,181.72 and 6,986 is: 10,479.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,454 : 38,181.72 = 6,986 : x
  2. Step 2: Convert to fraction form
    25,454/38,181.72 = 6,986/x
  3. Step 3: Cross multiply
    25,454x = 38,181.72 × 6,986
  4. Step 4: Simplify right side
    25,454x = 266,737,495.92
  5. Step 5: Solve for x
    x = 266,737,495.92/25,454
  6. Step 6: Final answer
    x = 10,479.20

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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.