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Finding the Fourth Proportional to 9,191.64, 13,765.26 and 5,230.90

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Solution

The fourth proportional to 9,191.64, 13,765.26 and 5,230.90 is: 7,833.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,191.64 : 13,765.26 = 5,230.90 : x
  2. Step 2: Convert to fraction form
    9,191.64/13,765.26 = 5,230.90/x
  3. Step 3: Cross multiply
    9,191.64x = 13,765.26 × 5,230.90
  4. Step 4: Simplify right side
    9,191.64x = 72,004,698.53
  5. Step 5: Solve for x
    x = 72,004,698.53/9,191.64
  6. Step 6: Final answer
    x = 7,833.72

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1.5x scale

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.