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Finding the Fourth Proportional to 7,756.80, 11,639.34 and 7,338.66

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Solution

The fourth proportional to 7,756.80, 11,639.34 and 7,338.66 is: 11,011.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,756.80 : 11,639.34 = 7,338.66 : x
  2. Step 2: Convert to fraction form
    7,756.80/11,639.34 = 7,338.66/x
  3. Step 3: Cross multiply
    7,756.80x = 11,639.34 × 7,338.66
  4. Step 4: Simplify right side
    7,756.80x = 85,417,158.88
  5. Step 5: Solve for x
    x = 85,417,158.88/7,756.80
  6. Step 6: Final answer
    x = 11,011.91

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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.