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Finding the Fourth Proportional to 3,291.95, 4,938.20 and 1,646.97

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Solution

The fourth proportional to 3,291.95, 4,938.20 and 1,646.97 is: 2,470.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,291.95 : 4,938.20 = 1,646.97 : x
  2. Step 2: Convert to fraction form
    3,291.95/4,938.20 = 1,646.97/x
  3. Step 3: Cross multiply
    3,291.95x = 4,938.20 × 1,646.97
  4. Step 4: Simplify right side
    3,291.95x = 8,133,059.02
  5. Step 5: Solve for x
    x = 8,133,059.02/3,291.95
  6. Step 6: Final answer
    x = 2,470.59

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1.5x scale

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.