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Finding the Fourth Proportional to 7,641.84, 11,438.79 and 5,256

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Solution

The fourth proportional to 7,641.84, 11,438.79 and 5,256 is: 7,867.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,641.84 : 11,438.79 = 5,256 : x
  2. Step 2: Convert to fraction form
    7,641.84/11,438.79 = 5,256/x
  3. Step 3: Cross multiply
    7,641.84x = 11,438.79 × 5,256
  4. Step 4: Simplify right side
    7,641.84x = 60,122,280.24
  5. Step 5: Solve for x
    x = 60,122,280.24/7,641.84
  6. Step 6: Final answer
    x = 7,867.51

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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.