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Finding the Fourth Proportional to 2,509.32, 3,764.03 and 1,765.89

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Solution

The fourth proportional to 2,509.32, 3,764.03 and 1,765.89 is: 2,648.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.32 : 3,764.03 = 1,765.89 : x
  2. Step 2: Convert to fraction form
    2,509.32/3,764.03 = 1,765.89/x
  3. Step 3: Cross multiply
    2,509.32x = 3,764.03 × 1,765.89
  4. Step 4: Simplify right side
    2,509.32x = 6,646,862.94
  5. Step 5: Solve for x
    x = 6,646,862.94/2,509.32
  6. Step 6: Final answer
    x = 2,648.87

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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.