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Finding the Fourth Proportional to 1,815.88, 2,718.48 and 1,378.84

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Solution

The fourth proportional to 1,815.88, 2,718.48 and 1,378.84 is: 2,064.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,815.88 : 2,718.48 = 1,378.84 : x
  2. Step 2: Convert to fraction form
    1,815.88/2,718.48 = 1,378.84/x
  3. Step 3: Cross multiply
    1,815.88x = 2,718.48 × 1,378.84
  4. Step 4: Simplify right side
    1,815.88x = 3,748,348.96
  5. Step 5: Solve for x
    x = 3,748,348.96/1,815.88
  6. Step 6: Final answer
    x = 2,064.21

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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.