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Finding the Fourth Proportional to 4,992, 7,488 and 1,529.16

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Solution

The fourth proportional to 4,992, 7,488 and 1,529.16 is: 2,293.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,992 : 7,488 = 1,529.16 : x
  2. Step 2: Convert to fraction form
    4,992/7,488 = 1,529.16/x
  3. Step 3: Cross multiply
    4,992x = 7,488 × 1,529.16
  4. Step 4: Simplify right side
    4,992x = 11,450,350.08
  5. Step 5: Solve for x
    x = 11,450,350.08/4,992
  6. Step 6: Final answer
    x = 2,293.74

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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.