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Finding the Fourth Proportional to 7,222.78, 10,830.52 and 2,291.10

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Solution

The fourth proportional to 7,222.78, 10,830.52 and 2,291.10 is: 3,435.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,222.78 : 10,830.52 = 2,291.10 : x
  2. Step 2: Convert to fraction form
    7,222.78/10,830.52 = 2,291.10/x
  3. Step 3: Cross multiply
    7,222.78x = 10,830.52 × 2,291.10
  4. Step 4: Simplify right side
    7,222.78x = 24,813,804.37
  5. Step 5: Solve for x
    x = 24,813,804.37/7,222.78
  6. Step 6: Final answer
    x = 3,435.49

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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.