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Finding the Fourth Proportional to 2,709.48, 4,066.05 and 1,323.48

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Solution

The fourth proportional to 2,709.48, 4,066.05 and 1,323.48 is: 1,986.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.48 : 4,066.05 = 1,323.48 : x
  2. Step 2: Convert to fraction form
    2,709.48/4,066.05 = 1,323.48/x
  3. Step 3: Cross multiply
    2,709.48x = 4,066.05 × 1,323.48
  4. Step 4: Simplify right side
    2,709.48x = 5,381,335.85
  5. Step 5: Solve for x
    x = 5,381,335.85/2,709.48
  6. Step 6: Final answer
    x = 1,986.11

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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.