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Finding the Fourth Proportional to 10,083.78, 15,125.68 and 4,890.42

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Solution

The fourth proportional to 10,083.78, 15,125.68 and 4,890.42 is: 7,335.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,083.78 : 15,125.68 = 4,890.42 : x
  2. Step 2: Convert to fraction form
    10,083.78/15,125.68 = 4,890.42/x
  3. Step 3: Cross multiply
    10,083.78x = 15,125.68 × 4,890.42
  4. Step 4: Simplify right side
    10,083.78x = 73,970,927.99
  5. Step 5: Solve for x
    x = 73,970,927.99/10,083.78
  6. Step 6: Final answer
    x = 7,335.63

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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.