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Finding the Fourth Proportional to 4,340.40, 6,503.40 and 3,721.20

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Solution

The fourth proportional to 4,340.40, 6,503.40 and 3,721.20 is: 5,575.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,340.40 : 6,503.40 = 3,721.20 : x
  2. Step 2: Convert to fraction form
    4,340.40/6,503.40 = 3,721.20/x
  3. Step 3: Cross multiply
    4,340.40x = 6,503.40 × 3,721.20
  4. Step 4: Simplify right side
    4,340.40x = 24,200,452.08
  5. Step 5: Solve for x
    x = 24,200,452.08/4,340.40
  6. Step 6: Final answer
    x = 5,575.63

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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.