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Finding the Fourth Proportional to 7,610.24, 11,412.12 and 2,990

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Solution

The fourth proportional to 7,610.24, 11,412.12 and 2,990 is: 4,483.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,610.24 : 11,412.12 = 2,990 : x
  2. Step 2: Convert to fraction form
    7,610.24/11,412.12 = 2,990/x
  3. Step 3: Cross multiply
    7,610.24x = 11,412.12 × 2,990
  4. Step 4: Simplify right side
    7,610.24x = 34,122,238.80
  5. Step 5: Solve for x
    x = 34,122,238.80/7,610.24
  6. Step 6: Final answer
    x = 4,483.73

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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.