Home / 5,142.75-7,714.53-1,680

Finding the Fourth Proportional to 5,142.75, 7,714.53 and 1,680

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Solution

The fourth proportional to 5,142.75, 7,714.53 and 1,680 is: 2,520.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,142.75 : 7,714.53 = 1,680 : x
  2. Step 2: Convert to fraction form
    5,142.75/7,714.53 = 1,680/x
  3. Step 3: Cross multiply
    5,142.75x = 7,714.53 × 1,680
  4. Step 4: Simplify right side
    5,142.75x = 12,960,410.40
  5. Step 5: Solve for x
    x = 12,960,410.40/5,142.75
  6. Step 6: Final answer
    x = 2,520.13

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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.