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Finding the Fourth Proportional to 2,642.84, 3,970.02 and 1,617.56

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Solution

The fourth proportional to 2,642.84, 3,970.02 and 1,617.56 is: 2,429.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.84 : 3,970.02 = 1,617.56 : x
  2. Step 2: Convert to fraction form
    2,642.84/3,970.02 = 1,617.56/x
  3. Step 3: Cross multiply
    2,642.84x = 3,970.02 × 1,617.56
  4. Step 4: Simplify right side
    2,642.84x = 6,421,745.55
  5. Step 5: Solve for x
    x = 6,421,745.55/2,642.84
  6. Step 6: Final answer
    x = 2,429.87

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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.