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Finding the Fourth Proportional to 2,589.96, 3,888 and 2,184.24

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Solution

The fourth proportional to 2,589.96, 3,888 and 2,184.24 is: 3,278.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589.96 : 3,888 = 2,184.24 : x
  2. Step 2: Convert to fraction form
    2,589.96/3,888 = 2,184.24/x
  3. Step 3: Cross multiply
    2,589.96x = 3,888 × 2,184.24
  4. Step 4: Simplify right side
    2,589.96x = 8,492,325.12
  5. Step 5: Solve for x
    x = 8,492,325.12/2,589.96
  6. Step 6: Final answer
    x = 3,278.94

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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.