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Finding the Fourth Proportional to 2,709.81, 4,062.76 and 1,148.95

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Solution

The fourth proportional to 2,709.81, 4,062.76 and 1,148.95 is: 1,722.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.81 : 4,062.76 = 1,148.95 : x
  2. Step 2: Convert to fraction form
    2,709.81/4,062.76 = 1,148.95/x
  3. Step 3: Cross multiply
    2,709.81x = 4,062.76 × 1,148.95
  4. Step 4: Simplify right side
    2,709.81x = 4,667,910.31
  5. Step 5: Solve for x
    x = 4,667,910.31/2,709.81
  6. Step 6: Final answer
    x = 1,722.60

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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.