Home / 2,136-2,947.68-1,516.08

Finding the Fourth Proportional to 2,136, 2,947.68 and 1,516.08

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Solution

The fourth proportional to 2,136, 2,947.68 and 1,516.08 is: 2,092.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136 : 2,947.68 = 1,516.08 : x
  2. Step 2: Convert to fraction form
    2,136/2,947.68 = 1,516.08/x
  3. Step 3: Cross multiply
    2,136x = 2,947.68 × 1,516.08
  4. Step 4: Simplify right side
    2,136x = 4,468,918.69
  5. Step 5: Solve for x
    x = 4,468,918.69/2,136
  6. Step 6: Final answer
    x = 2,092.19

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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.