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Finding the Fourth Proportional to 30,470.68, 45,711.74 and 13,831.88

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Solution

The fourth proportional to 30,470.68, 45,711.74 and 13,831.88 is: 20,750.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,470.68 : 45,711.74 = 13,831.88 : x
  2. Step 2: Convert to fraction form
    30,470.68/45,711.74 = 13,831.88/x
  3. Step 3: Cross multiply
    30,470.68x = 45,711.74 × 13,831.88
  4. Step 4: Simplify right side
    30,470.68x = 632,279,004.55
  5. Step 5: Solve for x
    x = 632,279,004.55/30,470.68
  6. Step 6: Final answer
    x = 20,750.41

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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.