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Finding the Fourth Proportional to 2,103, 2,896.90 and 1,966.92

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Solution

The fourth proportional to 2,103, 2,896.90 and 1,966.92 is: 2,709.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103 : 2,896.90 = 1,966.92 : x
  2. Step 2: Convert to fraction form
    2,103/2,896.90 = 1,966.92/x
  3. Step 3: Cross multiply
    2,103x = 2,896.90 × 1,966.92
  4. Step 4: Simplify right side
    2,103x = 5,697,970.55
  5. Step 5: Solve for x
    x = 5,697,970.55/2,103
  6. Step 6: Final answer
    x = 2,709.45

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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.