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Finding the Fourth Proportional to 2,486.88, 3,432.08 and 1,425

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Solution

The fourth proportional to 2,486.88, 3,432.08 and 1,425 is: 1,966.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,486.88 : 3,432.08 = 1,425 : x
  2. Step 2: Convert to fraction form
    2,486.88/3,432.08 = 1,425/x
  3. Step 3: Cross multiply
    2,486.88x = 3,432.08 × 1,425
  4. Step 4: Simplify right side
    2,486.88x = 4,890,714
  5. Step 5: Solve for x
    x = 4,890,714/2,486.88
  6. Step 6: Final answer
    x = 1,966.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.