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Finding the Fourth Proportional to 2,646.88, 3,971.76 and 1,349.44

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Solution

The fourth proportional to 2,646.88, 3,971.76 and 1,349.44 is: 2,024.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.88 : 3,971.76 = 1,349.44 : x
  2. Step 2: Convert to fraction form
    2,646.88/3,971.76 = 1,349.44/x
  3. Step 3: Cross multiply
    2,646.88x = 3,971.76 × 1,349.44
  4. Step 4: Simplify right side
    2,646.88x = 5,359,651.81
  5. Step 5: Solve for x
    x = 5,359,651.81/2,646.88
  6. Step 6: Final answer
    x = 2,024.89

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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.