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Finding the Fourth Proportional to 1,854.30, 2,787.84 and 1,491.63

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Solution

The fourth proportional to 1,854.30, 2,787.84 and 1,491.63 is: 2,242.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854.30 : 2,787.84 = 1,491.63 : x
  2. Step 2: Convert to fraction form
    1,854.30/2,787.84 = 1,491.63/x
  3. Step 3: Cross multiply
    1,854.30x = 2,787.84 × 1,491.63
  4. Step 4: Simplify right side
    1,854.30x = 4,158,425.78
  5. Step 5: Solve for x
    x = 4,158,425.78/1,854.30
  6. Step 6: Final answer
    x = 2,242.59

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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.