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Finding the Fourth Proportional to 9,981,993.12, 13,775,191.76 and 5,398,314.40

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Solution

The fourth proportional to 9,981,993.12, 13,775,191.76 and 5,398,314.40 is: 7,449,696.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,981,993.12 : 13,775,191.76 = 5,398,314.40 : x
  2. Step 2: Convert to fraction form
    9,981,993.12/13,775,191.76 = 5,398,314.40/x
  3. Step 3: Cross multiply
    9,981,993.12x = 13,775,191.76 × 5,398,314.40
  4. Step 4: Simplify right side
    9,981,993.12x = 74,362,816,040,769.34
  5. Step 5: Solve for x
    x = 74,362,816,040,769.34/9,981,993.12
  6. Step 6: Final answer
    x = 7,449,696.18

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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.