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Finding the Fourth Proportional to 5,166.08, 7,129.22 and 2,808.24

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Solution

The fourth proportional to 5,166.08, 7,129.22 and 2,808.24 is: 3,875.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,166.08 : 7,129.22 = 2,808.24 : x
  2. Step 2: Convert to fraction form
    5,166.08/7,129.22 = 2,808.24/x
  3. Step 3: Cross multiply
    5,166.08x = 7,129.22 × 2,808.24
  4. Step 4: Simplify right side
    5,166.08x = 20,020,560.77
  5. Step 5: Solve for x
    x = 20,020,560.77/5,166.08
  6. Step 6: Final answer
    x = 3,875.39

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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.