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Finding the Fourth Proportional to 2,136.54, 2,947.36 and 1,663.58

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Solution

The fourth proportional to 2,136.54, 2,947.36 and 1,663.58 is: 2,294.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.54 : 2,947.36 = 1,663.58 : x
  2. Step 2: Convert to fraction form
    2,136.54/2,947.36 = 1,663.58/x
  3. Step 3: Cross multiply
    2,136.54x = 2,947.36 × 1,663.58
  4. Step 4: Simplify right side
    2,136.54x = 4,903,169.15
  5. Step 5: Solve for x
    x = 4,903,169.15/2,136.54
  6. Step 6: Final answer
    x = 2,294.91

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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.