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Finding the Fourth Proportional to 9,786,309, 13,505,106.42 and 5,493,957

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Solution

The fourth proportional to 9,786,309, 13,505,106.42 and 5,493,957 is: 7,581,660.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,786,309 : 13,505,106.42 = 5,493,957 : x
  2. Step 2: Convert to fraction form
    9,786,309/13,505,106.42 = 5,493,957/x
  3. Step 3: Cross multiply
    9,786,309x = 13,505,106.42 × 5,493,957
  4. Step 4: Simplify right side
    9,786,309x = 74,196,473,951,903.94
  5. Step 5: Solve for x
    x = 74,196,473,951,903.94/9,786,309
  6. Step 6: Final answer
    x = 7,581,660.66

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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.