Home / 1,520.75-2,098.64-822.13

Finding the Fourth Proportional to 1,520.75, 2,098.64 and 822.13

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Solution

The fourth proportional to 1,520.75, 2,098.64 and 822.13 is: 1,134.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.75 : 2,098.64 = 822.13 : x
  2. Step 2: Convert to fraction form
    1,520.75/2,098.64 = 822.13/x
  3. Step 3: Cross multiply
    1,520.75x = 2,098.64 × 822.13
  4. Step 4: Simplify right side
    1,520.75x = 1,725,340.30
  5. Step 5: Solve for x
    x = 1,725,340.30/1,520.75
  6. Step 6: Final answer
    x = 1,134.53

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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.