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Finding the Fourth Proportional to 6,838.69, 9,437.46 and 3,854.52

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Solution

The fourth proportional to 6,838.69, 9,437.46 and 3,854.52 is: 5,319.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,838.69 : 9,437.46 = 3,854.52 : x
  2. Step 2: Convert to fraction form
    6,838.69/9,437.46 = 3,854.52/x
  3. Step 3: Cross multiply
    6,838.69x = 9,437.46 × 3,854.52
  4. Step 4: Simplify right side
    6,838.69x = 36,376,895.50
  5. Step 5: Solve for x
    x = 36,376,895.50/6,838.69
  6. Step 6: Final answer
    x = 5,319.28

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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.