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Finding the Fourth Proportional to 7,438, 11,150.64 and 3,052.72

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Solution

The fourth proportional to 7,438, 11,150.64 and 3,052.72 is: 4,576.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,438 : 11,150.64 = 3,052.72 : x
  2. Step 2: Convert to fraction form
    7,438/11,150.64 = 3,052.72/x
  3. Step 3: Cross multiply
    7,438x = 11,150.64 × 3,052.72
  4. Step 4: Simplify right side
    7,438x = 34,039,781.74
  5. Step 5: Solve for x
    x = 34,039,781.74/7,438
  6. Step 6: Final answer
    x = 4,576.47

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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.