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Finding the Fourth Proportional to 10,857.78, 16,285.82 and 5,014.44

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Solution

The fourth proportional to 10,857.78, 16,285.82 and 5,014.44 is: 7,521.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,857.78 : 16,285.82 = 5,014.44 : x
  2. Step 2: Convert to fraction form
    10,857.78/16,285.82 = 5,014.44/x
  3. Step 3: Cross multiply
    10,857.78x = 16,285.82 × 5,014.44
  4. Step 4: Simplify right side
    10,857.78x = 81,664,242.17
  5. Step 5: Solve for x
    x = 81,664,242.17/10,857.78
  6. Step 6: Final answer
    x = 7,521.27

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1.5x scale

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.