Home / 1,451.02-2,002.43-821.65

Finding the Fourth Proportional to 1,451.02, 2,002.43 and 821.65

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Solution

The fourth proportional to 1,451.02, 2,002.43 and 821.65 is: 1,133.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,451.02 : 2,002.43 = 821.65 : x
  2. Step 2: Convert to fraction form
    1,451.02/2,002.43 = 821.65/x
  3. Step 3: Cross multiply
    1,451.02x = 2,002.43 × 821.65
  4. Step 4: Simplify right side
    1,451.02x = 1,645,296.61
  5. Step 5: Solve for x
    x = 1,645,296.61/1,451.02
  6. Step 6: Final answer
    x = 1,133.89

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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.