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Finding the Fourth Proportional to 2,780, 4,164.51 and 2,087.48

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Solution

The fourth proportional to 2,780, 4,164.51 and 2,087.48 is: 3,127.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,780 : 4,164.51 = 2,087.48 : x
  2. Step 2: Convert to fraction form
    2,780/4,164.51 = 2,087.48/x
  3. Step 3: Cross multiply
    2,780x = 4,164.51 × 2,087.48
  4. Step 4: Simplify right side
    2,780x = 8,693,331.33
  5. Step 5: Solve for x
    x = 8,693,331.33/2,780
  6. Step 6: Final answer
    x = 3,127.10

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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.