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Finding the Fourth Proportional to 9,201.75, 13,806.84 and 7,118.61

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Solution

The fourth proportional to 9,201.75, 13,806.84 and 7,118.61 is: 10,681.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201.75 : 13,806.84 = 7,118.61 : x
  2. Step 2: Convert to fraction form
    9,201.75/13,806.84 = 7,118.61/x
  3. Step 3: Cross multiply
    9,201.75x = 13,806.84 × 7,118.61
  4. Step 4: Simplify right side
    9,201.75x = 98,285,509.29
  5. Step 5: Solve for x
    x = 98,285,509.29/9,201.75
  6. Step 6: Final answer
    x = 10,681.18

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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.