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Finding the Fourth Proportional to 6,320, 9,478.20 and 4,238.72

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Solution

The fourth proportional to 6,320, 9,478.20 and 4,238.72 is: 6,356.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,320 : 9,478.20 = 4,238.72 : x
  2. Step 2: Convert to fraction form
    6,320/9,478.20 = 4,238.72/x
  3. Step 3: Cross multiply
    6,320x = 9,478.20 × 4,238.72
  4. Step 4: Simplify right side
    6,320x = 40,175,435.90
  5. Step 5: Solve for x
    x = 40,175,435.90/6,320
  6. Step 6: Final answer
    x = 6,356.87

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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.