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Finding the Fourth Proportional to 5,882.30, 8,118 and 3,889.40

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Solution

The fourth proportional to 5,882.30, 8,118 and 3,889.40 is: 5,367.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,882.30 : 8,118 = 3,889.40 : x
  2. Step 2: Convert to fraction form
    5,882.30/8,118 = 3,889.40/x
  3. Step 3: Cross multiply
    5,882.30x = 8,118 × 3,889.40
  4. Step 4: Simplify right side
    5,882.30x = 31,574,149.20
  5. Step 5: Solve for x
    x = 31,574,149.20/5,882.30
  6. Step 6: Final answer
    x = 5,367.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.