Home / 1,529.60-2,110.82-830.97

Finding the Fourth Proportional to 1,529.60, 2,110.82 and 830.97

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Solution

The fourth proportional to 1,529.60, 2,110.82 and 830.97 is: 1,146.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,529.60 : 2,110.82 = 830.97 : x
  2. Step 2: Convert to fraction form
    1,529.60/2,110.82 = 830.97/x
  3. Step 3: Cross multiply
    1,529.60x = 2,110.82 × 830.97
  4. Step 4: Simplify right side
    1,529.60x = 1,754,023.94
  5. Step 5: Solve for x
    x = 1,754,023.94/1,529.60
  6. Step 6: Final answer
    x = 1,146.72

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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.