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Finding the Fourth Proportional to 6,356.65, 8,770.08 and 3,837.81

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Solution

The fourth proportional to 6,356.65, 8,770.08 and 3,837.81 is: 5,294.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,356.65 : 8,770.08 = 3,837.81 : x
  2. Step 2: Convert to fraction form
    6,356.65/8,770.08 = 3,837.81/x
  3. Step 3: Cross multiply
    6,356.65x = 8,770.08 × 3,837.81
  4. Step 4: Simplify right side
    6,356.65x = 33,657,900.72
  5. Step 5: Solve for x
    x = 33,657,900.72/6,356.65
  6. Step 6: Final answer
    x = 5,294.91

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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.