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Finding the Fourth Proportional to 7,872.54, 10,867.05 and 5,220.84

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Solution

The fourth proportional to 7,872.54, 10,867.05 and 5,220.84 is: 7,206.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872.54 : 10,867.05 = 5,220.84 : x
  2. Step 2: Convert to fraction form
    7,872.54/10,867.05 = 5,220.84/x
  3. Step 3: Cross multiply
    7,872.54x = 10,867.05 × 5,220.84
  4. Step 4: Simplify right side
    7,872.54x = 56,735,129.32
  5. Step 5: Solve for x
    x = 56,735,129.32/7,872.54
  6. Step 6: Final answer
    x = 7,206.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.