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Finding the Fourth Proportional to 30,315.76, 41,842.20 and 20,374

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Solution

The fourth proportional to 30,315.76, 41,842.20 and 20,374 is: 28,120.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,315.76 : 41,842.20 = 20,374 : x
  2. Step 2: Convert to fraction form
    30,315.76/41,842.20 = 20,374/x
  3. Step 3: Cross multiply
    30,315.76x = 41,842.20 × 20,374
  4. Step 4: Simplify right side
    30,315.76x = 852,492,982.80
  5. Step 5: Solve for x
    x = 852,492,982.80/30,315.76
  6. Step 6: Final answer
    x = 28,120.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.