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Finding the Fourth Proportional to 2,765.90, 3,816.90 and 1,587.02

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Solution

The fourth proportional to 2,765.90, 3,816.90 and 1,587.02 is: 2,190.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.90 : 3,816.90 = 1,587.02 : x
  2. Step 2: Convert to fraction form
    2,765.90/3,816.90 = 1,587.02/x
  3. Step 3: Cross multiply
    2,765.90x = 3,816.90 × 1,587.02
  4. Step 4: Simplify right side
    2,765.90x = 6,057,496.64
  5. Step 5: Solve for x
    x = 6,057,496.64/2,765.90
  6. Step 6: Final answer
    x = 2,190.06

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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.