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Finding the Fourth Proportional to 5,227.79, 7,831.42 and 3,031.90

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Solution

The fourth proportional to 5,227.79, 7,831.42 and 3,031.90 is: 4,541.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,227.79 : 7,831.42 = 3,031.90 : x
  2. Step 2: Convert to fraction form
    5,227.79/7,831.42 = 3,031.90/x
  3. Step 3: Cross multiply
    5,227.79x = 7,831.42 × 3,031.90
  4. Step 4: Simplify right side
    5,227.79x = 23,744,055.14
  5. Step 5: Solve for x
    x = 23,744,055.14/5,227.79
  6. Step 6: Final answer
    x = 4,541.90

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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.