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Finding the Fourth Proportional to 7,709.20, 11,538.20 and 5,405.20

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Solution

The fourth proportional to 7,709.20, 11,538.20 and 5,405.20 is: 8,089.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,709.20 : 11,538.20 = 5,405.20 : x
  2. Step 2: Convert to fraction form
    7,709.20/11,538.20 = 5,405.20/x
  3. Step 3: Cross multiply
    7,709.20x = 11,538.20 × 5,405.20
  4. Step 4: Simplify right side
    7,709.20x = 62,366,278.64
  5. Step 5: Solve for x
    x = 62,366,278.64/7,709.20
  6. Step 6: Final answer
    x = 8,089.85

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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.