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Finding the Fourth Proportional to 5,678.64, 7,834.70 and 3,439.80

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Solution

The fourth proportional to 5,678.64, 7,834.70 and 3,439.80 is: 4,745.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678.64 : 7,834.70 = 3,439.80 : x
  2. Step 2: Convert to fraction form
    5,678.64/7,834.70 = 3,439.80/x
  3. Step 3: Cross multiply
    5,678.64x = 7,834.70 × 3,439.80
  4. Step 4: Simplify right side
    5,678.64x = 26,949,801.06
  5. Step 5: Solve for x
    x = 26,949,801.06/5,678.64
  6. Step 6: Final answer
    x = 4,745.82

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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.