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Finding the Fourth Proportional to 2,681.22, 4,019.70 and 831.18

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Solution

The fourth proportional to 2,681.22, 4,019.70 and 831.18 is: 1,246.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,681.22 : 4,019.70 = 831.18 : x
  2. Step 2: Convert to fraction form
    2,681.22/4,019.70 = 831.18/x
  3. Step 3: Cross multiply
    2,681.22x = 4,019.70 × 831.18
  4. Step 4: Simplify right side
    2,681.22x = 3,341,094.25
  5. Step 5: Solve for x
    x = 3,341,094.25/2,681.22
  6. Step 6: Final answer
    x = 1,246.11

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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.