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Finding the Fourth Proportional to 1,871.71, 2,788.88 and 1,787.87

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Solution

The fourth proportional to 1,871.71, 2,788.88 and 1,787.87 is: 2,663.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,871.71 : 2,788.88 = 1,787.87 : x
  2. Step 2: Convert to fraction form
    1,871.71/2,788.88 = 1,787.87/x
  3. Step 3: Cross multiply
    1,871.71x = 2,788.88 × 1,787.87
  4. Step 4: Simplify right side
    1,871.71x = 4,986,162.98
  5. Step 5: Solve for x
    x = 4,986,162.98/1,871.71
  6. Step 6: Final answer
    x = 2,663.96

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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.