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Finding the Fourth Proportional to 12,976, 19,465.08 and 3,742

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Solution

The fourth proportional to 12,976, 19,465.08 and 3,742 is: 5,613.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,976 : 19,465.08 = 3,742 : x
  2. Step 2: Convert to fraction form
    12,976/19,465.08 = 3,742/x
  3. Step 3: Cross multiply
    12,976x = 19,465.08 × 3,742
  4. Step 4: Simplify right side
    12,976x = 72,838,329.36
  5. Step 5: Solve for x
    x = 72,838,329.36/12,976
  6. Step 6: Final answer
    x = 5,613.31

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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.