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Finding the Fourth Proportional to 9,280.66, 13,905.66 and 6,816.46

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Solution

The fourth proportional to 9,280.66, 13,905.66 and 6,816.46 is: 10,213.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,280.66 : 13,905.66 = 6,816.46 : x
  2. Step 2: Convert to fraction form
    9,280.66/13,905.66 = 6,816.46/x
  3. Step 3: Cross multiply
    9,280.66x = 13,905.66 × 6,816.46
  4. Step 4: Simplify right side
    9,280.66x = 94,787,375.16
  5. Step 5: Solve for x
    x = 94,787,375.16/9,280.66
  6. Step 6: Final answer
    x = 10,213.43

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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.