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Finding the Fourth Proportional to 1,787.65, 2,678.23 and 1,748.77

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Solution

The fourth proportional to 1,787.65, 2,678.23 and 1,748.77 is: 2,619.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,787.65 : 2,678.23 = 1,748.77 : x
  2. Step 2: Convert to fraction form
    1,787.65/2,678.23 = 1,748.77/x
  3. Step 3: Cross multiply
    1,787.65x = 2,678.23 × 1,748.77
  4. Step 4: Simplify right side
    1,787.65x = 4,683,608.28
  5. Step 5: Solve for x
    x = 4,683,608.28/1,787.65
  6. Step 6: Final answer
    x = 2,619.98

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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.