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Finding the Fourth Proportional to 20,978.98, 31,473.88 and 7,831.46

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Solution

The fourth proportional to 20,978.98, 31,473.88 and 7,831.46 is: 11,749.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,978.98 : 31,473.88 = 7,831.46 : x
  2. Step 2: Convert to fraction form
    20,978.98/31,473.88 = 7,831.46/x
  3. Step 3: Cross multiply
    20,978.98x = 31,473.88 × 7,831.46
  4. Step 4: Simplify right side
    20,978.98x = 246,486,432.26
  5. Step 5: Solve for x
    x = 246,486,432.26/20,978.98
  6. Step 6: Final answer
    x = 11,749.21

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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.