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Finding the Fourth Proportional to 2,575.53, 3,864.92 and 1,603.53

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Solution

The fourth proportional to 2,575.53, 3,864.92 and 1,603.53 is: 2,406.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,575.53 : 3,864.92 = 1,603.53 : x
  2. Step 2: Convert to fraction form
    2,575.53/3,864.92 = 1,603.53/x
  3. Step 3: Cross multiply
    2,575.53x = 3,864.92 × 1,603.53
  4. Step 4: Simplify right side
    2,575.53x = 6,197,507.15
  5. Step 5: Solve for x
    x = 6,197,507.15/2,575.53
  6. Step 6: Final answer
    x = 2,406.30

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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.