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Finding the Fourth Proportional to 9,201.77, 13,793.08 and 8,389.84

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Solution

The fourth proportional to 9,201.77, 13,793.08 and 8,389.84 is: 12,576.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201.77 : 13,793.08 = 8,389.84 : x
  2. Step 2: Convert to fraction form
    9,201.77/13,793.08 = 8,389.84/x
  3. Step 3: Cross multiply
    9,201.77x = 13,793.08 × 8,389.84
  4. Step 4: Simplify right side
    9,201.77x = 115,721,734.31
  5. Step 5: Solve for x
    x = 115,721,734.31/9,201.77
  6. Step 6: Final answer
    x = 12,576.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.