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Finding the Fourth Proportional to 9,207.68, 12,706.62 and 5,015.84

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Solution

The fourth proportional to 9,207.68, 12,706.62 and 5,015.84 is: 6,921.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,207.68 : 12,706.62 = 5,015.84 : x
  2. Step 2: Convert to fraction form
    9,207.68/12,706.62 = 5,015.84/x
  3. Step 3: Cross multiply
    9,207.68x = 12,706.62 × 5,015.84
  4. Step 4: Simplify right side
    9,207.68x = 63,734,372.86
  5. Step 5: Solve for x
    x = 63,734,372.86/9,207.68
  6. Step 6: Final answer
    x = 6,921.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.