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Finding the Fourth Proportional to 6,344.40, 8,756.40 and 3,984.72

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Solution

The fourth proportional to 6,344.40, 8,756.40 and 3,984.72 is: 5,499.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,344.40 : 8,756.40 = 3,984.72 : x
  2. Step 2: Convert to fraction form
    6,344.40/8,756.40 = 3,984.72/x
  3. Step 3: Cross multiply
    6,344.40x = 8,756.40 × 3,984.72
  4. Step 4: Simplify right side
    6,344.40x = 34,891,802.21
  5. Step 5: Solve for x
    x = 34,891,802.21/6,344.40
  6. Step 6: Final answer
    x = 5,499.62

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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.