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Finding the Fourth Proportional to 8,478, 11,699.64 and 5,166

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Solution

The fourth proportional to 8,478, 11,699.64 and 5,166 is: 7,129.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,478 : 11,699.64 = 5,166 : x
  2. Step 2: Convert to fraction form
    8,478/11,699.64 = 5,166/x
  3. Step 3: Cross multiply
    8,478x = 11,699.64 × 5,166
  4. Step 4: Simplify right side
    8,478x = 60,440,340.24
  5. Step 5: Solve for x
    x = 60,440,340.24/8,478
  6. Step 6: Final answer
    x = 7,129.08

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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.