Home / 1,529.49-2,110.73-830.86

Finding the Fourth Proportional to 1,529.49, 2,110.73 and 830.86

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Solution

The fourth proportional to 1,529.49, 2,110.73 and 830.86 is: 1,146.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,529.49 : 2,110.73 = 830.86 : x
  2. Step 2: Convert to fraction form
    1,529.49/2,110.73 = 830.86/x
  3. Step 3: Cross multiply
    1,529.49x = 2,110.73 × 830.86
  4. Step 4: Simplify right side
    1,529.49x = 1,753,721.13
  5. Step 5: Solve for x
    x = 1,753,721.13/1,529.49
  6. Step 6: Final answer
    x = 1,146.61

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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.