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Finding the Fourth Proportional to 2,720.79, 4,080.38 and 965.47

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Solution

The fourth proportional to 2,720.79, 4,080.38 and 965.47 is: 1,447.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,720.79 : 4,080.38 = 965.47 : x
  2. Step 2: Convert to fraction form
    2,720.79/4,080.38 = 965.47/x
  3. Step 3: Cross multiply
    2,720.79x = 4,080.38 × 965.47
  4. Step 4: Simplify right side
    2,720.79x = 3,939,477.10
  5. Step 5: Solve for x
    x = 3,939,477.10/2,720.79
  6. Step 6: Final answer
    x = 1,447.92

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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.