Home / 1,529.45-2,110.61-830.82

Finding the Fourth Proportional to 1,529.45, 2,110.61 and 830.82

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Solution

The fourth proportional to 1,529.45, 2,110.61 and 830.82 is: 1,146.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,529.45 : 2,110.61 = 830.82 : x
  2. Step 2: Convert to fraction form
    1,529.45/2,110.61 = 830.82/x
  3. Step 3: Cross multiply
    1,529.45x = 2,110.61 × 830.82
  4. Step 4: Simplify right side
    1,529.45x = 1,753,532.85
  5. Step 5: Solve for x
    x = 1,753,532.85/1,529.45
  6. Step 6: Final answer
    x = 1,146.52

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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.