Home / 1,520.44-2,098.20-821.81

Finding the Fourth Proportional to 1,520.44, 2,098.20 and 821.81

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Solution

The fourth proportional to 1,520.44, 2,098.20 and 821.81 is: 1,134.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.44 : 2,098.20 = 821.81 : x
  2. Step 2: Convert to fraction form
    1,520.44/2,098.20 = 821.81/x
  3. Step 3: Cross multiply
    1,520.44x = 2,098.20 × 821.81
  4. Step 4: Simplify right side
    1,520.44x = 1,724,330.07
  5. Step 5: Solve for x
    x = 1,724,330.07/1,520.44
  6. Step 6: Final answer
    x = 1,134.10

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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.