Home / 1,451.25-2,002.61-821.84

Finding the Fourth Proportional to 1,451.25, 2,002.61 and 821.84

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Solution

The fourth proportional to 1,451.25, 2,002.61 and 821.84 is: 1,134.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,451.25 : 2,002.61 = 821.84 : x
  2. Step 2: Convert to fraction form
    1,451.25/2,002.61 = 821.84/x
  3. Step 3: Cross multiply
    1,451.25x = 2,002.61 × 821.84
  4. Step 4: Simplify right side
    1,451.25x = 1,645,810.88
  5. Step 5: Solve for x
    x = 1,645,810.88/1,451.25
  6. Step 6: Final answer
    x = 1,134.06

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1.5x scale

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.