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Finding the Fourth Proportional to 3,603.50, 4,972.84 and 1,947.50

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Solution

The fourth proportional to 3,603.50, 4,972.84 and 1,947.50 is: 2,687.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,603.50 : 4,972.84 = 1,947.50 : x
  2. Step 2: Convert to fraction form
    3,603.50/4,972.84 = 1,947.50/x
  3. Step 3: Cross multiply
    3,603.50x = 4,972.84 × 1,947.50
  4. Step 4: Simplify right side
    3,603.50x = 9,684,605.90
  5. Step 5: Solve for x
    x = 9,684,605.90/3,603.50
  6. Step 6: Final answer
    x = 2,687.56

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1.5x scale

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.