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Finding the Fourth Proportional to 3,102.79, 4,654.24 and 911.58

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Solution

The fourth proportional to 3,102.79, 4,654.24 and 911.58 is: 1,367.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.79 : 4,654.24 = 911.58 : x
  2. Step 2: Convert to fraction form
    3,102.79/4,654.24 = 911.58/x
  3. Step 3: Cross multiply
    3,102.79x = 4,654.24 × 911.58
  4. Step 4: Simplify right side
    3,102.79x = 4,242,712.10
  5. Step 5: Solve for x
    x = 4,242,712.10/3,102.79
  6. Step 6: Final answer
    x = 1,367.39

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1.5x scale

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.