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Finding the Fourth Proportional to 7,476.68, 11,198.01 and 4,548.53

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Solution

The fourth proportional to 7,476.68, 11,198.01 and 4,548.53 is: 6,812.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,476.68 : 11,198.01 = 4,548.53 : x
  2. Step 2: Convert to fraction form
    7,476.68/11,198.01 = 4,548.53/x
  3. Step 3: Cross multiply
    7,476.68x = 11,198.01 × 4,548.53
  4. Step 4: Simplify right side
    7,476.68x = 50,934,484.43
  5. Step 5: Solve for x
    x = 50,934,484.43/7,476.68
  6. Step 6: Final answer
    x = 6,812.45

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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.