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Finding the Fourth Proportional to 12,698.13, 19,047 and 3,464.13

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Solution

The fourth proportional to 12,698.13, 19,047 and 3,464.13 is: 5,196.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,698.13 : 19,047 = 3,464.13 : x
  2. Step 2: Convert to fraction form
    12,698.13/19,047 = 3,464.13/x
  3. Step 3: Cross multiply
    12,698.13x = 19,047 × 3,464.13
  4. Step 4: Simplify right side
    12,698.13x = 65,981,284.11
  5. Step 5: Solve for x
    x = 65,981,284.11/12,698.13
  6. Step 6: Final answer
    x = 5,196.14

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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.