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Finding the Fourth Proportional to 2,709.79, 4,061.36 and 1,540.77

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Solution

The fourth proportional to 2,709.79, 4,061.36 and 1,540.77 is: 2,309.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.79 : 4,061.36 = 1,540.77 : x
  2. Step 2: Convert to fraction form
    2,709.79/4,061.36 = 1,540.77/x
  3. Step 3: Cross multiply
    2,709.79x = 4,061.36 × 1,540.77
  4. Step 4: Simplify right side
    2,709.79x = 6,257,593.64
  5. Step 5: Solve for x
    x = 6,257,593.64/2,709.79
  6. Step 6: Final answer
    x = 2,309.26

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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.