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Finding the Fourth Proportional to 7,231,176.32, 9,978,995.94 and 3,968,045.66

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Solution

The fourth proportional to 7,231,176.32, 9,978,995.94 and 3,968,045.66 is: 5,475,887.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,231,176.32 : 9,978,995.94 = 3,968,045.66 : x
  2. Step 2: Convert to fraction form
    7,231,176.32/9,978,995.94 = 3,968,045.66/x
  3. Step 3: Cross multiply
    7,231,176.32x = 9,978,995.94 × 3,968,045.66
  4. Step 4: Simplify right side
    7,231,176.32x = 39,597,111,530,874.62
  5. Step 5: Solve for x
    x = 39,597,111,530,874.62/7,231,176.32
  6. Step 6: Final answer
    x = 5,475,887.99

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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.