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Finding the Fourth Proportional to 3,394.59, 5,091.69 and 929.40

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Solution

The fourth proportional to 3,394.59, 5,091.69 and 929.40 is: 1,394.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,394.59 : 5,091.69 = 929.40 : x
  2. Step 2: Convert to fraction form
    3,394.59/5,091.69 = 929.40/x
  3. Step 3: Cross multiply
    3,394.59x = 5,091.69 × 929.40
  4. Step 4: Simplify right side
    3,394.59x = 4,732,216.69
  5. Step 5: Solve for x
    x = 4,732,216.69/3,394.59
  6. Step 6: Final answer
    x = 1,394.05

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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.