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Finding the Fourth Proportional to 7,882.56, 10,878.03 and 5,225.22

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Solution

The fourth proportional to 7,882.56, 10,878.03 and 5,225.22 is: 7,210.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882.56 : 10,878.03 = 5,225.22 : x
  2. Step 2: Convert to fraction form
    7,882.56/10,878.03 = 5,225.22/x
  3. Step 3: Cross multiply
    7,882.56x = 10,878.03 × 5,225.22
  4. Step 4: Simplify right side
    7,882.56x = 56,840,099.92
  5. Step 5: Solve for x
    x = 56,840,099.92/7,882.56
  6. Step 6: Final answer
    x = 7,210.87

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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.