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Finding the Fourth Proportional to 7,213.07, 10,827.81 and 6,737.40

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Solution

The fourth proportional to 7,213.07, 10,827.81 and 6,737.40 is: 10,113.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,213.07 : 10,827.81 = 6,737.40 : x
  2. Step 2: Convert to fraction form
    7,213.07/10,827.81 = 6,737.40/x
  3. Step 3: Cross multiply
    7,213.07x = 10,827.81 × 6,737.40
  4. Step 4: Simplify right side
    7,213.07x = 72,951,287.09
  5. Step 5: Solve for x
    x = 72,951,287.09/7,213.07
  6. Step 6: Final answer
    x = 10,113.76

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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.