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Finding the Fourth Proportional to 5,221.41, 7,831.32 and 1,711.41

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Solution

The fourth proportional to 5,221.41, 7,831.32 and 1,711.41 is: 2,566.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,221.41 : 7,831.32 = 1,711.41 : x
  2. Step 2: Convert to fraction form
    5,221.41/7,831.32 = 1,711.41/x
  3. Step 3: Cross multiply
    5,221.41x = 7,831.32 × 1,711.41
  4. Step 4: Simplify right side
    5,221.41x = 13,402,599.36
  5. Step 5: Solve for x
    x = 13,402,599.36/5,221.41
  6. Step 6: Final answer
    x = 2,566.85

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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.