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Finding the Fourth Proportional to 11,326, 16,989.08 and 6,642.74

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Solution

The fourth proportional to 11,326, 16,989.08 and 6,642.74 is: 9,964.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,326 : 16,989.08 = 6,642.74 : x
  2. Step 2: Convert to fraction form
    11,326/16,989.08 = 6,642.74/x
  3. Step 3: Cross multiply
    11,326x = 16,989.08 × 6,642.74
  4. Step 4: Simplify right side
    11,326x = 112,854,041.28
  5. Step 5: Solve for x
    x = 112,854,041.28/11,326
  6. Step 6: Final answer
    x = 9,964.16

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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.