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Finding the Fourth Proportional to 3,203.76, 4,419 and 2,875.44

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Solution

The fourth proportional to 3,203.76, 4,419 and 2,875.44 is: 3,966.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.76 : 4,419 = 2,875.44 : x
  2. Step 2: Convert to fraction form
    3,203.76/4,419 = 2,875.44/x
  3. Step 3: Cross multiply
    3,203.76x = 4,419 × 2,875.44
  4. Step 4: Simplify right side
    3,203.76x = 12,706,569.36
  5. Step 5: Solve for x
    x = 12,706,569.36/3,203.76
  6. Step 6: Final answer
    x = 3,966.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.