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Finding the Fourth Proportional to 3,992, 5,508.80 and 2,223.68

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Solution

The fourth proportional to 3,992, 5,508.80 and 2,223.68 is: 3,068.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,992 : 5,508.80 = 2,223.68 : x
  2. Step 2: Convert to fraction form
    3,992/5,508.80 = 2,223.68/x
  3. Step 3: Cross multiply
    3,992x = 5,508.80 × 2,223.68
  4. Step 4: Simplify right side
    3,992x = 12,249,808.38
  5. Step 5: Solve for x
    x = 12,249,808.38/3,992
  6. Step 6: Final answer
    x = 3,068.59

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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.