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Finding the Fourth Proportional to 2,643.03, 3,956.99 and 1,775.79

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Solution

The fourth proportional to 2,643.03, 3,956.99 and 1,775.79 is: 2,658.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.03 : 3,956.99 = 1,775.79 : x
  2. Step 2: Convert to fraction form
    2,643.03/3,956.99 = 1,775.79/x
  3. Step 3: Cross multiply
    2,643.03x = 3,956.99 × 1,775.79
  4. Step 4: Simplify right side
    2,643.03x = 7,026,774.39
  5. Step 5: Solve for x
    x = 7,026,774.39/2,643.03
  6. Step 6: Final answer
    x = 2,658.61

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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.