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Finding the Fourth Proportional to 3,806.76, 5,705.42 and 1,613

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Solution

The fourth proportional to 3,806.76, 5,705.42 and 1,613 is: 2,417.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.76 : 5,705.42 = 1,613 : x
  2. Step 2: Convert to fraction form
    3,806.76/5,705.42 = 1,613/x
  3. Step 3: Cross multiply
    3,806.76x = 5,705.42 × 1,613
  4. Step 4: Simplify right side
    3,806.76x = 9,202,842.46
  5. Step 5: Solve for x
    x = 9,202,842.46/3,806.76
  6. Step 6: Final answer
    x = 2,417.50

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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.