Home / 3,171.02-4,756.10-831.17

Finding the Fourth Proportional to 3,171.02, 4,756.10 and 831.17

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Solution

The fourth proportional to 3,171.02, 4,756.10 and 831.17 is: 1,246.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171.02 : 4,756.10 = 831.17 : x
  2. Step 2: Convert to fraction form
    3,171.02/4,756.10 = 831.17/x
  3. Step 3: Cross multiply
    3,171.02x = 4,756.10 × 831.17
  4. Step 4: Simplify right side
    3,171.02x = 3,953,135.37
  5. Step 5: Solve for x
    x = 3,953,135.37/3,171.02
  6. Step 6: Final answer
    x = 1,246.65

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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.