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Finding the Fourth Proportional to 10,832, 16,248.82 and 6,150.20

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Solution

The fourth proportional to 10,832, 16,248.82 and 6,150.20 is: 9,225.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,832 : 16,248.82 = 6,150.20 : x
  2. Step 2: Convert to fraction form
    10,832/16,248.82 = 6,150.20/x
  3. Step 3: Cross multiply
    10,832x = 16,248.82 × 6,150.20
  4. Step 4: Simplify right side
    10,832x = 99,933,492.76
  5. Step 5: Solve for x
    x = 99,933,492.76/10,832
  6. Step 6: Final answer
    x = 9,225.77

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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.