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Finding the Fourth Proportional to 7,422.40, 11,048.78 and 7,311.67

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Solution

The fourth proportional to 7,422.40, 11,048.78 and 7,311.67 is: 10,883.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,422.40 : 11,048.78 = 7,311.67 : x
  2. Step 2: Convert to fraction form
    7,422.40/11,048.78 = 7,311.67/x
  3. Step 3: Cross multiply
    7,422.40x = 11,048.78 × 7,311.67
  4. Step 4: Simplify right side
    7,422.40x = 80,785,033.26
  5. Step 5: Solve for x
    x = 80,785,033.26/7,422.40
  6. Step 6: Final answer
    x = 10,883.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.