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Finding the Fourth Proportional to 9,589.85, 13,238.08 and 6,447.86

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Solution

The fourth proportional to 9,589.85, 13,238.08 and 6,447.86 is: 8,900.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,589.85 : 13,238.08 = 6,447.86 : x
  2. Step 2: Convert to fraction form
    9,589.85/13,238.08 = 6,447.86/x
  3. Step 3: Cross multiply
    9,589.85x = 13,238.08 × 6,447.86
  4. Step 4: Simplify right side
    9,589.85x = 85,357,204.20
  5. Step 5: Solve for x
    x = 85,357,204.20/9,589.85
  6. Step 6: Final answer
    x = 8,900.79

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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.