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Finding the Fourth Proportional to 2,766.69, 4,143.69 and 2,705.13

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Solution

The fourth proportional to 2,766.69, 4,143.69 and 2,705.13 is: 4,051.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766.69 : 4,143.69 = 2,705.13 : x
  2. Step 2: Convert to fraction form
    2,766.69/4,143.69 = 2,705.13/x
  3. Step 3: Cross multiply
    2,766.69x = 4,143.69 × 2,705.13
  4. Step 4: Simplify right side
    2,766.69x = 11,209,220.13
  5. Step 5: Solve for x
    x = 11,209,220.13/2,766.69
  6. Step 6: Final answer
    x = 4,051.49

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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.