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Finding the Fourth Proportional to 10,807, 16,211.52 and 3,015.88

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Solution

The fourth proportional to 10,807, 16,211.52 and 3,015.88 is: 4,524.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,807 : 16,211.52 = 3,015.88 : x
  2. Step 2: Convert to fraction form
    10,807/16,211.52 = 3,015.88/x
  3. Step 3: Cross multiply
    10,807x = 16,211.52 × 3,015.88
  4. Step 4: Simplify right side
    10,807x = 48,891,998.94
  5. Step 5: Solve for x
    x = 48,891,998.94/10,807
  6. Step 6: Final answer
    x = 4,524.10

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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.