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Finding the Fourth Proportional to 6,642.05, 9,956.81 and 3,307.15

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Solution

The fourth proportional to 6,642.05, 9,956.81 and 3,307.15 is: 4,957.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,642.05 : 9,956.81 = 3,307.15 : x
  2. Step 2: Convert to fraction form
    6,642.05/9,956.81 = 3,307.15/x
  3. Step 3: Cross multiply
    6,642.05x = 9,956.81 × 3,307.15
  4. Step 4: Simplify right side
    6,642.05x = 32,928,597.87
  5. Step 5: Solve for x
    x = 32,928,597.87/6,642.05
  6. Step 6: Final answer
    x = 4,957.60

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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.