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Finding the Fourth Proportional to 8,714.76, 12,025.80 and 5,178.24

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Solution

The fourth proportional to 8,714.76, 12,025.80 and 5,178.24 is: 7,145.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,714.76 : 12,025.80 = 5,178.24 : x
  2. Step 2: Convert to fraction form
    8,714.76/12,025.80 = 5,178.24/x
  3. Step 3: Cross multiply
    8,714.76x = 12,025.80 × 5,178.24
  4. Step 4: Simplify right side
    8,714.76x = 62,272,478.59
  5. Step 5: Solve for x
    x = 62,272,478.59/8,714.76
  6. Step 6: Final answer
    x = 7,145.63

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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.