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Finding the Fourth Proportional to 3,645.81, 5,470.92 and 1,454.22

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Solution

The fourth proportional to 3,645.81, 5,470.92 and 1,454.22 is: 2,182.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,645.81 : 5,470.92 = 1,454.22 : x
  2. Step 2: Convert to fraction form
    3,645.81/5,470.92 = 1,454.22/x
  3. Step 3: Cross multiply
    3,645.81x = 5,470.92 × 1,454.22
  4. Step 4: Simplify right side
    3,645.81x = 7,955,921.28
  5. Step 5: Solve for x
    x = 7,955,921.28/3,645.81
  6. Step 6: Final answer
    x = 2,182.21

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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.