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Finding the Fourth Proportional to 2,707.79, 4,061.07 and 1,770.44

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Solution

The fourth proportional to 2,707.79, 4,061.07 and 1,770.44 is: 2,655.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707.79 : 4,061.07 = 1,770.44 : x
  2. Step 2: Convert to fraction form
    2,707.79/4,061.07 = 1,770.44/x
  3. Step 3: Cross multiply
    2,707.79x = 4,061.07 × 1,770.44
  4. Step 4: Simplify right side
    2,707.79x = 7,189,860.47
  5. Step 5: Solve for x
    x = 7,189,860.47/2,707.79
  6. Step 6: Final answer
    x = 2,655.26

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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.