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Finding the Fourth Proportional to 10,574.88, 15,864.54 and 3,179.88

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Solution

The fourth proportional to 10,574.88, 15,864.54 and 3,179.88 is: 4,770.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,574.88 : 15,864.54 = 3,179.88 : x
  2. Step 2: Convert to fraction form
    10,574.88/15,864.54 = 3,179.88/x
  3. Step 3: Cross multiply
    10,574.88x = 15,864.54 × 3,179.88
  4. Step 4: Simplify right side
    10,574.88x = 50,447,333.46
  5. Step 5: Solve for x
    x = 50,447,333.46/10,574.88
  6. Step 6: Final answer
    x = 4,770.49

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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.