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Finding the Fourth Proportional to 6,792.41, 9,374.40 and 4,139.75

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Solution

The fourth proportional to 6,792.41, 9,374.40 and 4,139.75 is: 5,713.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,792.41 : 9,374.40 = 4,139.75 : x
  2. Step 2: Convert to fraction form
    6,792.41/9,374.40 = 4,139.75/x
  3. Step 3: Cross multiply
    6,792.41x = 9,374.40 × 4,139.75
  4. Step 4: Simplify right side
    6,792.41x = 38,807,672.40
  5. Step 5: Solve for x
    x = 38,807,672.40/6,792.41
  6. Step 6: Final answer
    x = 5,713.39

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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.