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Finding the Fourth Proportional to 2,003.88, 2,765.64 and 1,505.64

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Solution

The fourth proportional to 2,003.88, 2,765.64 and 1,505.64 is: 2,078.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.88 : 2,765.64 = 1,505.64 : x
  2. Step 2: Convert to fraction form
    2,003.88/2,765.64 = 1,505.64/x
  3. Step 3: Cross multiply
    2,003.88x = 2,765.64 × 1,505.64
  4. Step 4: Simplify right side
    2,003.88x = 4,164,058.21
  5. Step 5: Solve for x
    x = 4,164,058.21/2,003.88
  6. Step 6: Final answer
    x = 2,078.00

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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.