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Finding the Fourth Proportional to 2,136.84, 2,947.80 and 1,474.08

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Solution

The fourth proportional to 2,136.84, 2,947.80 and 1,474.08 is: 2,033.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.84 : 2,947.80 = 1,474.08 : x
  2. Step 2: Convert to fraction form
    2,136.84/2,947.80 = 1,474.08/x
  3. Step 3: Cross multiply
    2,136.84x = 2,947.80 × 1,474.08
  4. Step 4: Simplify right side
    2,136.84x = 4,345,293.02
  5. Step 5: Solve for x
    x = 4,345,293.02/2,136.84
  6. Step 6: Final answer
    x = 2,033.51

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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.