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Finding the Fourth Proportional to 11,109.64, 16,646.00 and 7,815.81

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Solution

The fourth proportional to 11,109.64, 16,646.00 and 7,815.81 is: 11,710.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,109.64 : 16,646.00 = 7,815.81 : x
  2. Step 2: Convert to fraction form
    11,109.64/16,646.00 = 7,815.81/x
  3. Step 3: Cross multiply
    11,109.64x = 16,646.00 × 7,815.81
  4. Step 4: Simplify right side
    11,109.64x = 130,101,992.80
  5. Step 5: Solve for x
    x = 130,101,992.80/11,109.64
  6. Step 6: Final answer
    x = 11,710.73

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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.