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Finding the Fourth Proportional to 8,514.42, 12,714.24 and 6,957.48

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Solution

The fourth proportional to 8,514.42, 12,714.24 and 6,957.48 is: 10,389.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,514.42 : 12,714.24 = 6,957.48 : x
  2. Step 2: Convert to fraction form
    8,514.42/12,714.24 = 6,957.48/x
  3. Step 3: Cross multiply
    8,514.42x = 12,714.24 × 6,957.48
  4. Step 4: Simplify right side
    8,514.42x = 88,459,070.52
  5. Step 5: Solve for x
    x = 88,459,070.52/8,514.42
  6. Step 6: Final answer
    x = 10,389.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.