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Finding the Fourth Proportional to 4,427, 6,641.34 and 1,655.62

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Solution

The fourth proportional to 4,427, 6,641.34 and 1,655.62 is: 2,483.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,427 : 6,641.34 = 1,655.62 : x
  2. Step 2: Convert to fraction form
    4,427/6,641.34 = 1,655.62/x
  3. Step 3: Cross multiply
    4,427x = 6,641.34 × 1,655.62
  4. Step 4: Simplify right side
    4,427x = 10,995,535.33
  5. Step 5: Solve for x
    x = 10,995,535.33/4,427
  6. Step 6: Final answer
    x = 2,483.74

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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.