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Finding the Fourth Proportional to 4,891.62, 7,332.61 and 3,131.62

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Solution

The fourth proportional to 4,891.62, 7,332.61 and 3,131.62 is: 4,694.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,891.62 : 7,332.61 = 3,131.62 : x
  2. Step 2: Convert to fraction form
    4,891.62/7,332.61 = 3,131.62/x
  3. Step 3: Cross multiply
    4,891.62x = 7,332.61 × 3,131.62
  4. Step 4: Simplify right side
    4,891.62x = 22,962,927.84
  5. Step 5: Solve for x
    x = 22,962,927.84/4,891.62
  6. Step 6: Final answer
    x = 4,694.34

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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.