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Finding the Fourth Proportional to 3,101.10, 4,651.65 and 792.60

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Solution

The fourth proportional to 3,101.10, 4,651.65 and 792.60 is: 1,188.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.10 : 4,651.65 = 792.60 : x
  2. Step 2: Convert to fraction form
    3,101.10/4,651.65 = 792.60/x
  3. Step 3: Cross multiply
    3,101.10x = 4,651.65 × 792.60
  4. Step 4: Simplify right side
    3,101.10x = 3,686,897.79
  5. Step 5: Solve for x
    x = 3,686,897.79/3,101.10
  6. Step 6: Final answer
    x = 1,188.90

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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.