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Finding the Fourth Proportional to 3,714.43, 5,123.07 and 2,719.35

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Solution

The fourth proportional to 3,714.43, 5,123.07 and 2,719.35 is: 3,750.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.43 : 5,123.07 = 2,719.35 : x
  2. Step 2: Convert to fraction form
    3,714.43/5,123.07 = 2,719.35/x
  3. Step 3: Cross multiply
    3,714.43x = 5,123.07 × 2,719.35
  4. Step 4: Simplify right side
    3,714.43x = 13,931,420.40
  5. Step 5: Solve for x
    x = 13,931,420.40/3,714.43
  6. Step 6: Final answer
    x = 3,750.62

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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.