Home / 1,529.20-2,110.30-830.56

Finding the Fourth Proportional to 1,529.20, 2,110.30 and 830.56

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Solution

The fourth proportional to 1,529.20, 2,110.30 and 830.56 is: 1,146.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,529.20 : 2,110.30 = 830.56 : x
  2. Step 2: Convert to fraction form
    1,529.20/2,110.30 = 830.56/x
  3. Step 3: Cross multiply
    1,529.20x = 2,110.30 × 830.56
  4. Step 4: Simplify right side
    1,529.20x = 1,752,730.77
  5. Step 5: Solve for x
    x = 1,752,730.77/1,529.20
  6. Step 6: Final answer
    x = 1,146.17

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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.