Home / 1,529.97-2,111.33-831.35

Finding the Fourth Proportional to 1,529.97, 2,111.33 and 831.35

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Solution

The fourth proportional to 1,529.97, 2,111.33 and 831.35 is: 1,147.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,529.97 : 2,111.33 = 831.35 : x
  2. Step 2: Convert to fraction form
    1,529.97/2,111.33 = 831.35/x
  3. Step 3: Cross multiply
    1,529.97x = 2,111.33 × 831.35
  4. Step 4: Simplify right side
    1,529.97x = 1,755,254.20
  5. Step 5: Solve for x
    x = 1,755,254.20/1,529.97
  6. Step 6: Final answer
    x = 1,147.25

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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.