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Finding the Fourth Proportional to 9,117.92, 13,674.60 and 2,543.84

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Solution

The fourth proportional to 9,117.92, 13,674.60 and 2,543.84 is: 3,815.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,117.92 : 13,674.60 = 2,543.84 : x
  2. Step 2: Convert to fraction form
    9,117.92/13,674.60 = 2,543.84/x
  3. Step 3: Cross multiply
    9,117.92x = 13,674.60 × 2,543.84
  4. Step 4: Simplify right side
    9,117.92x = 34,785,994.46
  5. Step 5: Solve for x
    x = 34,785,994.46/9,117.92
  6. Step 6: Final answer
    x = 3,815.12

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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.