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Finding the Fourth Proportional to 2,992.40, 4,455.02 and 2,978

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Solution

The fourth proportional to 2,992.40, 4,455.02 and 2,978 is: 4,433.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992.40 : 4,455.02 = 2,978 : x
  2. Step 2: Convert to fraction form
    2,992.40/4,455.02 = 2,978/x
  3. Step 3: Cross multiply
    2,992.40x = 4,455.02 × 2,978
  4. Step 4: Simplify right side
    2,992.40x = 13,267,049.56
  5. Step 5: Solve for x
    x = 13,267,049.56/2,992.40
  6. Step 6: Final answer
    x = 4,433.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.