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Finding the Fourth Proportional to 6,319.92, 8,721.88 and 3,487.28

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Solution

The fourth proportional to 6,319.92, 8,721.88 and 3,487.28 is: 4,812.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,319.92 : 8,721.88 = 3,487.28 : x
  2. Step 2: Convert to fraction form
    6,319.92/8,721.88 = 3,487.28/x
  3. Step 3: Cross multiply
    6,319.92x = 8,721.88 × 3,487.28
  4. Step 4: Simplify right side
    6,319.92x = 30,415,637.69
  5. Step 5: Solve for x
    x = 30,415,637.69/6,319.92
  6. Step 6: Final answer
    x = 4,812.66

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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.