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Finding the Fourth Proportional to 2,695.12, 4,041.67 and 939.67

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Solution

The fourth proportional to 2,695.12, 4,041.67 and 939.67 is: 1,409.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,695.12 : 4,041.67 = 939.67 : x
  2. Step 2: Convert to fraction form
    2,695.12/4,041.67 = 939.67/x
  3. Step 3: Cross multiply
    2,695.12x = 4,041.67 × 939.67
  4. Step 4: Simplify right side
    2,695.12x = 3,797,850.73
  5. Step 5: Solve for x
    x = 3,797,850.73/2,695.12
  6. Step 6: Final answer
    x = 1,409.16

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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.