Home / 2,064.32-3,097.68-831.84

Finding the Fourth Proportional to 2,064.32, 3,097.68 and 831.84

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Solution

The fourth proportional to 2,064.32, 3,097.68 and 831.84 is: 1,248.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.32 : 3,097.68 = 831.84 : x
  2. Step 2: Convert to fraction form
    2,064.32/3,097.68 = 831.84/x
  3. Step 3: Cross multiply
    2,064.32x = 3,097.68 × 831.84
  4. Step 4: Simplify right side
    2,064.32x = 2,576,774.13
  5. Step 5: Solve for x
    x = 2,576,774.13/2,064.32
  6. Step 6: Final answer
    x = 1,248.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.