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Finding the Fourth Proportional to 2,616.84, 3,926.07 and 1,155.87

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Solution

The fourth proportional to 2,616.84, 3,926.07 and 1,155.87 is: 1,734.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,616.84 : 3,926.07 = 1,155.87 : x
  2. Step 2: Convert to fraction form
    2,616.84/3,926.07 = 1,155.87/x
  3. Step 3: Cross multiply
    2,616.84x = 3,926.07 × 1,155.87
  4. Step 4: Simplify right side
    2,616.84x = 4,538,026.53
  5. Step 5: Solve for x
    x = 4,538,026.53/2,616.84
  6. Step 6: Final answer
    x = 1,734.16

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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.