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Finding the Fourth Proportional to 2,765.56, 3,816.82 and 1,587

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Solution

The fourth proportional to 2,765.56, 3,816.82 and 1,587 is: 2,190.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.56 : 3,816.82 = 1,587 : x
  2. Step 2: Convert to fraction form
    2,765.56/3,816.82 = 1,587/x
  3. Step 3: Cross multiply
    2,765.56x = 3,816.82 × 1,587
  4. Step 4: Simplify right side
    2,765.56x = 6,057,293.34
  5. Step 5: Solve for x
    x = 6,057,293.34/2,765.56
  6. Step 6: Final answer
    x = 2,190.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.