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Finding the Fourth Proportional to 12,911.72, 19,368.30 and 3,677

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Solution

The fourth proportional to 12,911.72, 19,368.30 and 3,677 is: 5,515.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,911.72 : 19,368.30 = 3,677 : x
  2. Step 2: Convert to fraction form
    12,911.72/19,368.30 = 3,677/x
  3. Step 3: Cross multiply
    12,911.72x = 19,368.30 × 3,677
  4. Step 4: Simplify right side
    12,911.72x = 71,217,239.10
  5. Step 5: Solve for x
    x = 71,217,239.10/12,911.72
  6. Step 6: Final answer
    x = 5,515.71

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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.