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Finding the Fourth Proportional to 2,136.79, 2,947.08 and 1,390.99

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Solution

The fourth proportional to 2,136.79, 2,947.08 and 1,390.99 is: 1,918.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.79 : 2,947.08 = 1,390.99 : x
  2. Step 2: Convert to fraction form
    2,136.79/2,947.08 = 1,390.99/x
  3. Step 3: Cross multiply
    2,136.79x = 2,947.08 × 1,390.99
  4. Step 4: Simplify right side
    2,136.79x = 4,099,358.81
  5. Step 5: Solve for x
    x = 4,099,358.81/2,136.79
  6. Step 6: Final answer
    x = 1,918.47

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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.