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Finding the Fourth Proportional to 4,478.42, 6,714.42 and 2,105.17

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Solution

The fourth proportional to 4,478.42, 6,714.42 and 2,105.17 is: 3,156.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,478.42 : 6,714.42 = 2,105.17 : x
  2. Step 2: Convert to fraction form
    4,478.42/6,714.42 = 2,105.17/x
  3. Step 3: Cross multiply
    4,478.42x = 6,714.42 × 2,105.17
  4. Step 4: Simplify right side
    4,478.42x = 14,134,995.55
  5. Step 5: Solve for x
    x = 14,134,995.55/4,478.42
  6. Step 6: Final answer
    x = 3,156.25

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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.