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Finding the Fourth Proportional to 1,882.95, 2,810.90 and 1,636.91

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Solution

The fourth proportional to 1,882.95, 2,810.90 and 1,636.91 is: 2,443.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.95 : 2,810.90 = 1,636.91 : x
  2. Step 2: Convert to fraction form
    1,882.95/2,810.90 = 1,636.91/x
  3. Step 3: Cross multiply
    1,882.95x = 2,810.90 × 1,636.91
  4. Step 4: Simplify right side
    1,882.95x = 4,601,190.90
  5. Step 5: Solve for x
    x = 4,601,190.90/1,882.95
  6. Step 6: Final answer
    x = 2,443.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.