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Finding the Fourth Proportional to 26,787.60, 40,181.40 and 10,142.10

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Solution

The fourth proportional to 26,787.60, 40,181.40 and 10,142.10 is: 15,213.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,787.60 : 40,181.40 = 10,142.10 : x
  2. Step 2: Convert to fraction form
    26,787.60/40,181.40 = 10,142.10/x
  3. Step 3: Cross multiply
    26,787.60x = 40,181.40 × 10,142.10
  4. Step 4: Simplify right side
    26,787.60x = 407,523,776.94
  5. Step 5: Solve for x
    x = 407,523,776.94/26,787.60
  6. Step 6: Final answer
    x = 15,213.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.