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Finding the Fourth Proportional to 10,765.50, 16,150.68 and 3,840

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Solution

The fourth proportional to 10,765.50, 16,150.68 and 3,840 is: 5,760.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,765.50 : 16,150.68 = 3,840 : x
  2. Step 2: Convert to fraction form
    10,765.50/16,150.68 = 3,840/x
  3. Step 3: Cross multiply
    10,765.50x = 16,150.68 × 3,840
  4. Step 4: Simplify right side
    10,765.50x = 62,018,611.20
  5. Step 5: Solve for x
    x = 62,018,611.20/10,765.50
  6. Step 6: Final answer
    x = 5,760.87

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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.