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Finding the Fourth Proportional to 2,589.34, 3,884.08 and 947.11

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Solution

The fourth proportional to 2,589.34, 3,884.08 and 947.11 is: 1,420.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589.34 : 3,884.08 = 947.11 : x
  2. Step 2: Convert to fraction form
    2,589.34/3,884.08 = 947.11/x
  3. Step 3: Cross multiply
    2,589.34x = 3,884.08 × 947.11
  4. Step 4: Simplify right side
    2,589.34x = 3,678,651.01
  5. Step 5: Solve for x
    x = 3,678,651.01/2,589.34
  6. Step 6: Final answer
    x = 1,420.69

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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.