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Finding the Fourth Proportional to 7,221.68, 10,823.84 and 2,599.28

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Solution

The fourth proportional to 7,221.68, 10,823.84 and 2,599.28 is: 3,895.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,221.68 : 10,823.84 = 2,599.28 : x
  2. Step 2: Convert to fraction form
    7,221.68/10,823.84 = 2,599.28/x
  3. Step 3: Cross multiply
    7,221.68x = 10,823.84 × 2,599.28
  4. Step 4: Simplify right side
    7,221.68x = 28,134,190.84
  5. Step 5: Solve for x
    x = 28,134,190.84/7,221.68
  6. Step 6: Final answer
    x = 3,895.80

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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.