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Finding the Fourth Proportional to 8,714.40, 12,024.48 and 5,731.44

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Solution

The fourth proportional to 8,714.40, 12,024.48 and 5,731.44 is: 7,908.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,714.40 : 12,024.48 = 5,731.44 : x
  2. Step 2: Convert to fraction form
    8,714.40/12,024.48 = 5,731.44/x
  3. Step 3: Cross multiply
    8,714.40x = 12,024.48 × 5,731.44
  4. Step 4: Simplify right side
    8,714.40x = 68,917,585.65
  5. Step 5: Solve for x
    x = 68,917,585.65/8,714.40
  6. Step 6: Final answer
    x = 7,908.47

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1.5x scale

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.