Home / 1,530.55-2,112.12-831.91

Finding the Fourth Proportional to 1,530.55, 2,112.12 and 831.91

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Solution

The fourth proportional to 1,530.55, 2,112.12 and 831.91 is: 1,148.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.55 : 2,112.12 = 831.91 : x
  2. Step 2: Convert to fraction form
    1,530.55/2,112.12 = 831.91/x
  3. Step 3: Cross multiply
    1,530.55x = 2,112.12 × 831.91
  4. Step 4: Simplify right side
    1,530.55x = 1,757,093.75
  5. Step 5: Solve for x
    x = 1,757,093.75/1,530.55
  6. Step 6: Final answer
    x = 1,148.01

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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.