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Finding the Fourth Proportional to 35,470.98, 48,936.18 and 20,358.18

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Solution

The fourth proportional to 35,470.98, 48,936.18 and 20,358.18 is: 28,086.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,470.98 : 48,936.18 = 20,358.18 : x
  2. Step 2: Convert to fraction form
    35,470.98/48,936.18 = 20,358.18/x
  3. Step 3: Cross multiply
    35,470.98x = 48,936.18 × 20,358.18
  4. Step 4: Simplify right side
    35,470.98x = 996,251,560.95
  5. Step 5: Solve for x
    x = 996,251,560.95/35,470.98
  6. Step 6: Final answer
    x = 28,086.38

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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.