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Finding the Fourth Proportional to 1,966.59, 2,715.64 and 1,221.82

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Solution

The fourth proportional to 1,966.59, 2,715.64 and 1,221.82 is: 1,687.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966.59 : 2,715.64 = 1,221.82 : x
  2. Step 2: Convert to fraction form
    1,966.59/2,715.64 = 1,221.82/x
  3. Step 3: Cross multiply
    1,966.59x = 2,715.64 × 1,221.82
  4. Step 4: Simplify right side
    1,966.59x = 3,318,009.41
  5. Step 5: Solve for x
    x = 3,318,009.41/1,966.59
  6. Step 6: Final answer
    x = 1,687.19

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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.