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Finding the Fourth Proportional to 1,881.34, 2,822 and 1,767.16

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Solution

The fourth proportional to 1,881.34, 2,822 and 1,767.16 is: 2,650.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,881.34 : 2,822 = 1,767.16 : x
  2. Step 2: Convert to fraction form
    1,881.34/2,822 = 1,767.16/x
  3. Step 3: Cross multiply
    1,881.34x = 2,822 × 1,767.16
  4. Step 4: Simplify right side
    1,881.34x = 4,986,925.52
  5. Step 5: Solve for x
    x = 4,986,925.52/1,881.34
  6. Step 6: Final answer
    x = 2,650.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.