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Finding the Fourth Proportional to 6,613.74, 9,921.20 and 2,398.05

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Solution

The fourth proportional to 6,613.74, 9,921.20 and 2,398.05 is: 3,597.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,613.74 : 9,921.20 = 2,398.05 : x
  2. Step 2: Convert to fraction form
    6,613.74/9,921.20 = 2,398.05/x
  3. Step 3: Cross multiply
    6,613.74x = 9,921.20 × 2,398.05
  4. Step 4: Simplify right side
    6,613.74x = 23,791,533.66
  5. Step 5: Solve for x
    x = 23,791,533.66/6,613.74
  6. Step 6: Final answer
    x = 3,597.29

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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.