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Finding the Fourth Proportional to 9,117.80, 13,676.70 and 2,192.30

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Solution

The fourth proportional to 9,117.80, 13,676.70 and 2,192.30 is: 3,288.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,117.80 : 13,676.70 = 2,192.30 : x
  2. Step 2: Convert to fraction form
    9,117.80/13,676.70 = 2,192.30/x
  3. Step 3: Cross multiply
    9,117.80x = 13,676.70 × 2,192.30
  4. Step 4: Simplify right side
    9,117.80x = 29,983,471.82
  5. Step 5: Solve for x
    x = 29,983,471.82/9,117.80
  6. Step 6: Final answer
    x = 3,288.45

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