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Finding the Fourth Proportional to 2,163.84, 2,986.08 and 1,417.92

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Solution

The fourth proportional to 2,163.84, 2,986.08 and 1,417.92 is: 1,956.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163.84 : 2,986.08 = 1,417.92 : x
  2. Step 2: Convert to fraction form
    2,163.84/2,986.08 = 1,417.92/x
  3. Step 3: Cross multiply
    2,163.84x = 2,986.08 × 1,417.92
  4. Step 4: Simplify right side
    2,163.84x = 4,234,022.55
  5. Step 5: Solve for x
    x = 4,234,022.55/2,163.84
  6. Step 6: Final answer
    x = 1,956.72

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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.