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Finding the Fourth Proportional to 3,668.69, 5,051.16 and 2,871.01

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Solution

The fourth proportional to 3,668.69, 5,051.16 and 2,871.01 is: 3,952.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668.69 : 5,051.16 = 2,871.01 : x
  2. Step 2: Convert to fraction form
    3,668.69/5,051.16 = 2,871.01/x
  3. Step 3: Cross multiply
    3,668.69x = 5,051.16 × 2,871.01
  4. Step 4: Simplify right side
    3,668.69x = 14,501,937.19
  5. Step 5: Solve for x
    x = 14,501,937.19/3,668.69
  6. Step 6: Final answer
    x = 3,952.89

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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.