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Finding the Fourth Proportional to 10,669, 16,009.26 and 5,197

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Solution

The fourth proportional to 10,669, 16,009.26 and 5,197 is: 7,798.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,669 : 16,009.26 = 5,197 : x
  2. Step 2: Convert to fraction form
    10,669/16,009.26 = 5,197/x
  3. Step 3: Cross multiply
    10,669x = 16,009.26 × 5,197
  4. Step 4: Simplify right side
    10,669x = 83,200,124.22
  5. Step 5: Solve for x
    x = 83,200,124.22/10,669
  6. Step 6: Final answer
    x = 7,798.31

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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.