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Finding the Fourth Proportional to 10,057.20, 13,880.34 and 8,376.18

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Solution

The fourth proportional to 10,057.20, 13,880.34 and 8,376.18 is: 11,560.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,057.20 : 13,880.34 = 8,376.18 : x
  2. Step 2: Convert to fraction form
    10,057.20/13,880.34 = 8,376.18/x
  3. Step 3: Cross multiply
    10,057.20x = 13,880.34 × 8,376.18
  4. Step 4: Simplify right side
    10,057.20x = 116,264,226.30
  5. Step 5: Solve for x
    x = 116,264,226.30/10,057.20
  6. Step 6: Final answer
    x = 11,560.30

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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.