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Finding the Fourth Proportional to 9,884.79, 13,638.78 and 5,905.13

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Solution

The fourth proportional to 9,884.79, 13,638.78 and 5,905.13 is: 8,147.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,884.79 : 13,638.78 = 5,905.13 : x
  2. Step 2: Convert to fraction form
    9,884.79/13,638.78 = 5,905.13/x
  3. Step 3: Cross multiply
    9,884.79x = 13,638.78 × 5,905.13
  4. Step 4: Simplify right side
    9,884.79x = 80,538,768.94
  5. Step 5: Solve for x
    x = 80,538,768.94/9,884.79
  6. Step 6: Final answer
    x = 8,147.75

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1.5x scale

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.