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Finding the Fourth Proportional to 7,126,739.61, 9,834,978.11 and 4,186,680.64

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Solution

The fourth proportional to 7,126,739.61, 9,834,978.11 and 4,186,680.64 is: 5,777,664.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,126,739.61 : 9,834,978.11 = 4,186,680.64 : x
  2. Step 2: Convert to fraction form
    7,126,739.61/9,834,978.11 = 4,186,680.64/x
  3. Step 3: Cross multiply
    7,126,739.61x = 9,834,978.11 × 4,186,680.64
  4. Step 4: Simplify right side
    7,126,739.61x = 41,175,912,441,875.85
  5. Step 5: Solve for x
    x = 41,175,912,441,875.85/7,126,739.61
  6. Step 6: Final answer
    x = 5,777,664.78

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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.