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Finding the Fourth Proportional to 3,603, 4,972.14 and 1,947

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Solution

The fourth proportional to 3,603, 4,972.14 and 1,947 is: 2,686.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,603 : 4,972.14 = 1,947 : x
  2. Step 2: Convert to fraction form
    3,603/4,972.14 = 1,947/x
  3. Step 3: Cross multiply
    3,603x = 4,972.14 × 1,947
  4. Step 4: Simplify right side
    3,603x = 9,680,756.58
  5. Step 5: Solve for x
    x = 9,680,756.58/3,603
  6. Step 6: Final answer
    x = 2,686.86

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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.