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Finding the Fourth Proportional to 6,394.90, 9,581.55 and 3,100.90

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Solution

The fourth proportional to 6,394.90, 9,581.55 and 3,100.90 is: 4,646.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,394.90 : 9,581.55 = 3,100.90 : x
  2. Step 2: Convert to fraction form
    6,394.90/9,581.55 = 3,100.90/x
  3. Step 3: Cross multiply
    6,394.90x = 9,581.55 × 3,100.90
  4. Step 4: Simplify right side
    6,394.90x = 29,711,428.40
  5. Step 5: Solve for x
    x = 29,711,428.40/6,394.90
  6. Step 6: Final answer
    x = 4,646.11

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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.