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Finding the Fourth Proportional to 5,164, 7,752.36 and 4,891.84

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Solution

The fourth proportional to 5,164, 7,752.36 and 4,891.84 is: 7,343.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,164 : 7,752.36 = 4,891.84 : x
  2. Step 2: Convert to fraction form
    5,164/7,752.36 = 4,891.84/x
  3. Step 3: Cross multiply
    5,164x = 7,752.36 × 4,891.84
  4. Step 4: Simplify right side
    5,164x = 37,923,304.74
  5. Step 5: Solve for x
    x = 37,923,304.74/5,164
  6. Step 6: Final answer
    x = 7,343.78

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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.