Home / 1,451.23-2,002.70-821.77

Finding the Fourth Proportional to 1,451.23, 2,002.70 and 821.77

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Solution

The fourth proportional to 1,451.23, 2,002.70 and 821.77 is: 1,134.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,451.23 : 2,002.70 = 821.77 : x
  2. Step 2: Convert to fraction form
    1,451.23/2,002.70 = 821.77/x
  3. Step 3: Cross multiply
    1,451.23x = 2,002.70 × 821.77
  4. Step 4: Simplify right side
    1,451.23x = 1,645,755.83
  5. Step 5: Solve for x
    x = 1,645,755.83/1,451.23
  6. Step 6: Final answer
    x = 1,134.04

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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.