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Finding the Fourth Proportional to 5,287.48, 7,922.71 and 3,443.11

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Solution

The fourth proportional to 5,287.48, 7,922.71 and 3,443.11 is: 5,159.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,287.48 : 7,922.71 = 3,443.11 : x
  2. Step 2: Convert to fraction form
    5,287.48/7,922.71 = 3,443.11/x
  3. Step 3: Cross multiply
    5,287.48x = 7,922.71 × 3,443.11
  4. Step 4: Simplify right side
    5,287.48x = 27,278,762.03
  5. Step 5: Solve for x
    x = 27,278,762.03/5,287.48
  6. Step 6: Final answer
    x = 5,159.12

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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.