Home / 3,132.31-4,698.50-823.81

Finding the Fourth Proportional to 3,132.31, 4,698.50 and 823.81

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Solution

The fourth proportional to 3,132.31, 4,698.50 and 823.81 is: 1,235.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,132.31 : 4,698.50 = 823.81 : x
  2. Step 2: Convert to fraction form
    3,132.31/4,698.50 = 823.81/x
  3. Step 3: Cross multiply
    3,132.31x = 4,698.50 × 823.81
  4. Step 4: Simplify right side
    3,132.31x = 3,870,671.29
  5. Step 5: Solve for x
    x = 3,870,671.29/3,132.31
  6. Step 6: Final answer
    x = 1,235.72

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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.