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Finding the Fourth Proportional to 2,136.99, 2,947.26 and 1,390.59

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Solution

The fourth proportional to 2,136.99, 2,947.26 and 1,390.59 is: 1,917.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.99 : 2,947.26 = 1,390.59 : x
  2. Step 2: Convert to fraction form
    2,136.99/2,947.26 = 1,390.59/x
  3. Step 3: Cross multiply
    2,136.99x = 2,947.26 × 1,390.59
  4. Step 4: Simplify right side
    2,136.99x = 4,098,430.28
  5. Step 5: Solve for x
    x = 4,098,430.28/2,136.99
  6. Step 6: Final answer
    x = 1,917.85

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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.