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Finding the Fourth Proportional to 2,136.46, 2,948.24 and 1,192.19

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Solution

The fourth proportional to 2,136.46, 2,948.24 and 1,192.19 is: 1,645.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.46 : 2,948.24 = 1,192.19 : x
  2. Step 2: Convert to fraction form
    2,136.46/2,948.24 = 1,192.19/x
  3. Step 3: Cross multiply
    2,136.46x = 2,948.24 × 1,192.19
  4. Step 4: Simplify right side
    2,136.46x = 3,514,862.25
  5. Step 5: Solve for x
    x = 3,514,862.25/2,136.46
  6. Step 6: Final answer
    x = 1,645.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.