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Finding the Fourth Proportional to 5,680, 7,838.16 and 3,162.04

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Solution

The fourth proportional to 5,680, 7,838.16 and 3,162.04 is: 4,363.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,680 : 7,838.16 = 3,162.04 : x
  2. Step 2: Convert to fraction form
    5,680/7,838.16 = 3,162.04/x
  3. Step 3: Cross multiply
    5,680x = 7,838.16 × 3,162.04
  4. Step 4: Simplify right side
    5,680x = 24,784,575.45
  5. Step 5: Solve for x
    x = 24,784,575.45/5,680
  6. Step 6: Final answer
    x = 4,363.48

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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.