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Finding the Fourth Proportional to 7,178.22, 9,907.11 and 5,998.86

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Solution

The fourth proportional to 7,178.22, 9,907.11 and 5,998.86 is: 8,279.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,178.22 : 9,907.11 = 5,998.86 : x
  2. Step 2: Convert to fraction form
    7,178.22/9,907.11 = 5,998.86/x
  3. Step 3: Cross multiply
    7,178.22x = 9,907.11 × 5,998.86
  4. Step 4: Simplify right side
    7,178.22x = 59,431,365.89
  5. Step 5: Solve for x
    x = 59,431,365.89/7,178.22
  6. Step 6: Final answer
    x = 8,279.40

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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.