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Finding the Fourth Proportional to 7,404.12, 10,220.04 and 5,166

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Solution

The fourth proportional to 7,404.12, 10,220.04 and 5,166 is: 7,130.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,404.12 : 10,220.04 = 5,166 : x
  2. Step 2: Convert to fraction form
    7,404.12/10,220.04 = 5,166/x
  3. Step 3: Cross multiply
    7,404.12x = 10,220.04 × 5,166
  4. Step 4: Simplify right side
    7,404.12x = 52,796,726.64
  5. Step 5: Solve for x
    x = 52,796,726.64/7,404.12
  6. Step 6: Final answer
    x = 7,130.72

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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.