Home / 1,520.35-2,098.07-821.72

Finding the Fourth Proportional to 1,520.35, 2,098.07 and 821.72

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Solution

The fourth proportional to 1,520.35, 2,098.07 and 821.72 is: 1,133.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.35 : 2,098.07 = 821.72 : x
  2. Step 2: Convert to fraction form
    1,520.35/2,098.07 = 821.72/x
  3. Step 3: Cross multiply
    1,520.35x = 2,098.07 × 821.72
  4. Step 4: Simplify right side
    1,520.35x = 1,724,033.38
  5. Step 5: Solve for x
    x = 1,724,033.38/1,520.35
  6. Step 6: Final answer
    x = 1,133.97

Related Problems

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Half scale
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Double scale
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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.