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Finding the Fourth Proportional to 10,006.91, 13,809.38 and 5,530.58

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Solution

The fourth proportional to 10,006.91, 13,809.38 and 5,530.58 is: 7,632.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,006.91 : 13,809.38 = 5,530.58 : x
  2. Step 2: Convert to fraction form
    10,006.91/13,809.38 = 5,530.58/x
  3. Step 3: Cross multiply
    10,006.91x = 13,809.38 × 5,530.58
  4. Step 4: Simplify right side
    10,006.91x = 76,373,784.14
  5. Step 5: Solve for x
    x = 76,373,784.14/10,006.91
  6. Step 6: Final answer
    x = 7,632.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.