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Finding the Fourth Proportional to 1,787.33, 2,681.60 and 1,614.80

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Solution

The fourth proportional to 1,787.33, 2,681.60 and 1,614.80 is: 2,422.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,787.33 : 2,681.60 = 1,614.80 : x
  2. Step 2: Convert to fraction form
    1,787.33/2,681.60 = 1,614.80/x
  3. Step 3: Cross multiply
    1,787.33x = 2,681.60 × 1,614.80
  4. Step 4: Simplify right side
    1,787.33x = 4,330,226.20
  5. Step 5: Solve for x
    x = 4,330,226.20/1,787.33
  6. Step 6: Final answer
    x = 2,422.74

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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.