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Finding the Fourth Proportional to 7,404, 11,111.40 and 2,787

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Solution

The fourth proportional to 7,404, 11,111.40 and 2,787 is: 4,182.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,404 : 11,111.40 = 2,787 : x
  2. Step 2: Convert to fraction form
    7,404/11,111.40 = 2,787/x
  3. Step 3: Cross multiply
    7,404x = 11,111.40 × 2,787
  4. Step 4: Simplify right side
    7,404x = 30,967,471.80
  5. Step 5: Solve for x
    x = 30,967,471.80/7,404
  6. Step 6: Final answer
    x = 4,182.53

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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.