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Finding the Fourth Proportional to 1,767.74, 2,638.89 and 1,639.58

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Solution

The fourth proportional to 1,767.74, 2,638.89 and 1,639.58 is: 2,447.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,767.74 : 2,638.89 = 1,639.58 : x
  2. Step 2: Convert to fraction form
    1,767.74/2,638.89 = 1,639.58/x
  3. Step 3: Cross multiply
    1,767.74x = 2,638.89 × 1,639.58
  4. Step 4: Simplify right side
    1,767.74x = 4,326,671.27
  5. Step 5: Solve for x
    x = 4,326,671.27/1,767.74
  6. Step 6: Final answer
    x = 2,447.57

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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.