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Finding the Fourth Proportional to 2,773.61, 3,823.01 and 1,966.33

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Solution

The fourth proportional to 2,773.61, 3,823.01 and 1,966.33 is: 2,710.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.61 : 3,823.01 = 1,966.33 : x
  2. Step 2: Convert to fraction form
    2,773.61/3,823.01 = 1,966.33/x
  3. Step 3: Cross multiply
    2,773.61x = 3,823.01 × 1,966.33
  4. Step 4: Simplify right side
    2,773.61x = 7,517,307.26
  5. Step 5: Solve for x
    x = 7,517,307.26/2,773.61
  6. Step 6: Final answer
    x = 2,710.30

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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.