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Finding the Fourth Proportional to 2,588.68, 3,883 and 1,436.84

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Solution

The fourth proportional to 2,588.68, 3,883 and 1,436.84 is: 2,155.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,588.68 : 3,883 = 1,436.84 : x
  2. Step 2: Convert to fraction form
    2,588.68/3,883 = 1,436.84/x
  3. Step 3: Cross multiply
    2,588.68x = 3,883 × 1,436.84
  4. Step 4: Simplify right side
    2,588.68x = 5,579,249.72
  5. Step 5: Solve for x
    x = 5,579,249.72/2,588.68
  6. Step 6: Final answer
    x = 2,155.25

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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.