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Finding the Fourth Proportional to 9,991,915.72, 13,788,074.07 and 5,641,431.44

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Solution

The fourth proportional to 9,991,915.72, 13,788,074.07 and 5,641,431.44 is: 7,784,740.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,991,915.72 : 13,788,074.07 = 5,641,431.44 : x
  2. Step 2: Convert to fraction form
    9,991,915.72/13,788,074.07 = 5,641,431.44/x
  3. Step 3: Cross multiply
    9,991,915.72x = 13,788,074.07 × 5,641,431.44
  4. Step 4: Simplify right side
    9,991,915.72x = 77,784,474,486,606.39
  5. Step 5: Solve for x
    x = 77,784,474,486,606.39/9,991,915.72
  6. Step 6: Final answer
    x = 7,784,740.85

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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.