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Finding the Fourth Proportional to 4,641.68, 6,398.05 and 3,631.68

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Solution

The fourth proportional to 4,641.68, 6,398.05 and 3,631.68 is: 5,005.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,641.68 : 6,398.05 = 3,631.68 : x
  2. Step 2: Convert to fraction form
    4,641.68/6,398.05 = 3,631.68/x
  3. Step 3: Cross multiply
    4,641.68x = 6,398.05 × 3,631.68
  4. Step 4: Simplify right side
    4,641.68x = 23,235,652.07
  5. Step 5: Solve for x
    x = 23,235,652.07/4,641.68
  6. Step 6: Final answer
    x = 5,005.88

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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.