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Finding the Fourth Proportional to 1,922.16, 2,650.92 and 1,549

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Solution

The fourth proportional to 1,922.16, 2,650.92 and 1,549 is: 2,136.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,922.16 : 2,650.92 = 1,549 : x
  2. Step 2: Convert to fraction form
    1,922.16/2,650.92 = 1,549/x
  3. Step 3: Cross multiply
    1,922.16x = 2,650.92 × 1,549
  4. Step 4: Simplify right side
    1,922.16x = 4,106,275.08
  5. Step 5: Solve for x
    x = 4,106,275.08/1,922.16
  6. Step 6: Final answer
    x = 2,136.28

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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.