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Finding the Fourth Proportional to 12,718, 19,078.20 and 3,484

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Solution

The fourth proportional to 12,718, 19,078.20 and 3,484 is: 5,226.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,718 : 19,078.20 = 3,484 : x
  2. Step 2: Convert to fraction form
    12,718/19,078.20 = 3,484/x
  3. Step 3: Cross multiply
    12,718x = 19,078.20 × 3,484
  4. Step 4: Simplify right side
    12,718x = 66,468,448.80
  5. Step 5: Solve for x
    x = 66,468,448.80/12,718
  6. Step 6: Final answer
    x = 5,226.33

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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.