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Finding the Fourth Proportional to 9,142.88, 13,714.31 and 2,986.88

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Solution

The fourth proportional to 9,142.88, 13,714.31 and 2,986.88 is: 4,480.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,142.88 : 13,714.31 = 2,986.88 : x
  2. Step 2: Convert to fraction form
    9,142.88/13,714.31 = 2,986.88/x
  3. Step 3: Cross multiply
    9,142.88x = 13,714.31 × 2,986.88
  4. Step 4: Simplify right side
    9,142.88x = 40,962,937.15
  5. Step 5: Solve for x
    x = 40,962,937.15/9,142.88
  6. Step 6: Final answer
    x = 4,480.31

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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.