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Finding the Fourth Proportional to 8,243.67, 11,376.83 and 4,657.39

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Solution

The fourth proportional to 8,243.67, 11,376.83 and 4,657.39 is: 6,427.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,243.67 : 11,376.83 = 4,657.39 : x
  2. Step 2: Convert to fraction form
    8,243.67/11,376.83 = 4,657.39/x
  3. Step 3: Cross multiply
    8,243.67x = 11,376.83 × 4,657.39
  4. Step 4: Simplify right side
    8,243.67x = 52,986,307.12
  5. Step 5: Solve for x
    x = 52,986,307.12/8,243.67
  6. Step 6: Final answer
    x = 6,427.51

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1.5x scale

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.