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Finding the Fourth Proportional to 10,815.81, 16,201.85 and 8,342.07

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Solution

The fourth proportional to 10,815.81, 16,201.85 and 8,342.07 is: 12,496.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,815.81 : 16,201.85 = 8,342.07 : x
  2. Step 2: Convert to fraction form
    10,815.81/16,201.85 = 8,342.07/x
  3. Step 3: Cross multiply
    10,815.81x = 16,201.85 × 8,342.07
  4. Step 4: Simplify right side
    10,815.81x = 135,156,925.12
  5. Step 5: Solve for x
    x = 135,156,925.12/10,815.81
  6. Step 6: Final answer
    x = 12,496.24

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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.