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Finding the Fourth Proportional to 6,113.78, 8,436.84 and 3,461.43

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Solution

The fourth proportional to 6,113.78, 8,436.84 and 3,461.43 is: 4,776.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,113.78 : 8,436.84 = 3,461.43 : x
  2. Step 2: Convert to fraction form
    6,113.78/8,436.84 = 3,461.43/x
  3. Step 3: Cross multiply
    6,113.78x = 8,436.84 × 3,461.43
  4. Step 4: Simplify right side
    6,113.78x = 29,203,531.08
  5. Step 5: Solve for x
    x = 29,203,531.08/6,113.78
  6. Step 6: Final answer
    x = 4,776.68

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