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Finding the Fourth Proportional to 6,449.88, 8,902.86 and 3,657.24

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Solution

The fourth proportional to 6,449.88, 8,902.86 and 3,657.24 is: 5,048.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,449.88 : 8,902.86 = 3,657.24 : x
  2. Step 2: Convert to fraction form
    6,449.88/8,902.86 = 3,657.24/x
  3. Step 3: Cross multiply
    6,449.88x = 8,902.86 × 3,657.24
  4. Step 4: Simplify right side
    6,449.88x = 32,559,895.71
  5. Step 5: Solve for x
    x = 32,559,895.71/6,449.88
  6. Step 6: Final answer
    x = 5,048.14

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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.