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Finding the Fourth Proportional to 3,714.84, 5,123.52 and 3,157.15

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Solution

The fourth proportional to 3,714.84, 5,123.52 and 3,157.15 is: 4,354.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.84 : 5,123.52 = 3,157.15 : x
  2. Step 2: Convert to fraction form
    3,714.84/5,123.52 = 3,157.15/x
  3. Step 3: Cross multiply
    3,714.84x = 5,123.52 × 3,157.15
  4. Step 4: Simplify right side
    3,714.84x = 16,175,713.28
  5. Step 5: Solve for x
    x = 16,175,713.28/3,714.84
  6. Step 6: Final answer
    x = 4,354.36

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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.