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Finding the Fourth Proportional to 10,261.87, 14,158.05 and 6,278.83

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Solution

The fourth proportional to 10,261.87, 14,158.05 and 6,278.83 is: 8,662.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,261.87 : 14,158.05 = 6,278.83 : x
  2. Step 2: Convert to fraction form
    10,261.87/14,158.05 = 6,278.83/x
  3. Step 3: Cross multiply
    10,261.87x = 14,158.05 × 6,278.83
  4. Step 4: Simplify right side
    10,261.87x = 88,895,989.08
  5. Step 5: Solve for x
    x = 88,895,989.08/10,261.87
  6. Step 6: Final answer
    x = 8,662.75

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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.