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Finding the Fourth Proportional to 1,787.86, 2,681.79 and 1,175.44

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Solution

The fourth proportional to 1,787.86, 2,681.79 and 1,175.44 is: 1,763.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,787.86 : 2,681.79 = 1,175.44 : x
  2. Step 2: Convert to fraction form
    1,787.86/2,681.79 = 1,175.44/x
  3. Step 3: Cross multiply
    1,787.86x = 2,681.79 × 1,175.44
  4. Step 4: Simplify right side
    1,787.86x = 3,152,283.24
  5. Step 5: Solve for x
    x = 3,152,283.24/1,787.86
  6. Step 6: Final answer
    x = 1,763.16

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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.