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Finding the Fourth Proportional to 7,220.86, 10,821.72 and 3,710.72

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Solution

The fourth proportional to 7,220.86, 10,821.72 and 3,710.72 is: 5,561.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,220.86 : 10,821.72 = 3,710.72 : x
  2. Step 2: Convert to fraction form
    7,220.86/10,821.72 = 3,710.72/x
  3. Step 3: Cross multiply
    7,220.86x = 10,821.72 × 3,710.72
  4. Step 4: Simplify right side
    7,220.86x = 40,156,372.84
  5. Step 5: Solve for x
    x = 40,156,372.84/7,220.86
  6. Step 6: Final answer
    x = 5,561.16

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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.