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Finding the Fourth Proportional to 35,304, 48,723.84 and 20,400

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Solution

The fourth proportional to 35,304, 48,723.84 and 20,400 is: 28,154.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,304 : 48,723.84 = 20,400 : x
  2. Step 2: Convert to fraction form
    35,304/48,723.84 = 20,400/x
  3. Step 3: Cross multiply
    35,304x = 48,723.84 × 20,400
  4. Step 4: Simplify right side
    35,304x = 993,966,336.00
  5. Step 5: Solve for x
    x = 993,966,336.00/35,304
  6. Step 6: Final answer
    x = 28,154.50

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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.