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Finding the Fourth Proportional to 8,714.88, 12,027.56 and 5,178.10

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Solution

The fourth proportional to 8,714.88, 12,027.56 and 5,178.10 is: 7,146.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,714.88 : 12,027.56 = 5,178.10 : x
  2. Step 2: Convert to fraction form
    8,714.88/12,027.56 = 5,178.10/x
  3. Step 3: Cross multiply
    8,714.88x = 12,027.56 × 5,178.10
  4. Step 4: Simplify right side
    8,714.88x = 62,279,908.44
  5. Step 5: Solve for x
    x = 62,279,908.44/8,714.88
  6. Step 6: Final answer
    x = 7,146.39

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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.