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Finding the Fourth Proportional to 6,338, 8,750.28 and 4,133.84

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Solution

The fourth proportional to 6,338, 8,750.28 and 4,133.84 is: 5,707.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,338 : 8,750.28 = 4,133.84 : x
  2. Step 2: Convert to fraction form
    6,338/8,750.28 = 4,133.84/x
  3. Step 3: Cross multiply
    6,338x = 8,750.28 × 4,133.84
  4. Step 4: Simplify right side
    6,338x = 36,172,257.48
  5. Step 5: Solve for x
    x = 36,172,257.48/6,338
  6. Step 6: Final answer
    x = 5,707.20

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Why These Related Problems?

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