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Finding the Fourth Proportional to 7,880.27, 11,824.49 and 7,426.46

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Solution

The fourth proportional to 7,880.27, 11,824.49 and 7,426.46 is: 11,143.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,880.27 : 11,824.49 = 7,426.46 : x
  2. Step 2: Convert to fraction form
    7,880.27/11,824.49 = 7,426.46/x
  3. Step 3: Cross multiply
    7,880.27x = 11,824.49 × 7,426.46
  4. Step 4: Simplify right side
    7,880.27x = 87,814,150.13
  5. Step 5: Solve for x
    x = 87,814,150.13/7,880.27
  6. Step 6: Final answer
    x = 11,143.55

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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.