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Finding the Fourth Proportional to 2,616.71, 3,609.68 and 1,986.19

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Solution

The fourth proportional to 2,616.71, 3,609.68 and 1,986.19 is: 2,739.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,616.71 : 3,609.68 = 1,986.19 : x
  2. Step 2: Convert to fraction form
    2,616.71/3,609.68 = 1,986.19/x
  3. Step 3: Cross multiply
    2,616.71x = 3,609.68 × 1,986.19
  4. Step 4: Simplify right side
    2,616.71x = 7,169,491.36
  5. Step 5: Solve for x
    x = 7,169,491.36/2,616.71
  6. Step 6: Final answer
    x = 2,739.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.