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Finding the Fourth Proportional to 2,668.85, 3,681.06 and 2,314.14

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Solution

The fourth proportional to 2,668.85, 3,681.06 and 2,314.14 is: 3,191.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,668.85 : 3,681.06 = 2,314.14 : x
  2. Step 2: Convert to fraction form
    2,668.85/3,681.06 = 2,314.14/x
  3. Step 3: Cross multiply
    2,668.85x = 3,681.06 × 2,314.14
  4. Step 4: Simplify right side
    2,668.85x = 8,518,488.19
  5. Step 5: Solve for x
    x = 8,518,488.19/2,668.85
  6. Step 6: Final answer
    x = 3,191.82

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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.