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Finding the Fourth Proportional to 7,758.87, 11,634.89 and 2,210.96

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Solution

The fourth proportional to 7,758.87, 11,634.89 and 2,210.96 is: 3,315.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758.87 : 11,634.89 = 2,210.96 : x
  2. Step 2: Convert to fraction form
    7,758.87/11,634.89 = 2,210.96/x
  3. Step 3: Cross multiply
    7,758.87x = 11,634.89 × 2,210.96
  4. Step 4: Simplify right side
    7,758.87x = 25,724,215.46
  5. Step 5: Solve for x
    x = 25,724,215.46/7,758.87
  6. Step 6: Final answer
    x = 3,315.46

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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.