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Finding the Fourth Proportional to 4,992, 7,488.12 and 1,529.52

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Solution

The fourth proportional to 4,992, 7,488.12 and 1,529.52 is: 2,294.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,992 : 7,488.12 = 1,529.52 : x
  2. Step 2: Convert to fraction form
    4,992/7,488.12 = 1,529.52/x
  3. Step 3: Cross multiply
    4,992x = 7,488.12 × 1,529.52
  4. Step 4: Simplify right side
    4,992x = 11,453,229.30
  5. Step 5: Solve for x
    x = 11,453,229.30/4,992
  6. Step 6: Final answer
    x = 2,294.32

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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.