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Finding the Fourth Proportional to 7,222.50, 9,967.86 and 4,078.89

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Solution

The fourth proportional to 7,222.50, 9,967.86 and 4,078.89 is: 5,629.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,222.50 : 9,967.86 = 4,078.89 : x
  2. Step 2: Convert to fraction form
    7,222.50/9,967.86 = 4,078.89/x
  3. Step 3: Cross multiply
    7,222.50x = 9,967.86 × 4,078.89
  4. Step 4: Simplify right side
    7,222.50x = 40,657,804.48
  5. Step 5: Solve for x
    x = 40,657,804.48/7,222.50
  6. Step 6: Final answer
    x = 5,629.33

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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.