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Finding the Fourth Proportional to 13,122, 19,646.28 and 8,179.32

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Solution

The fourth proportional to 13,122, 19,646.28 and 8,179.32 is: 12,246.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,122 : 19,646.28 = 8,179.32 : x
  2. Step 2: Convert to fraction form
    13,122/19,646.28 = 8,179.32/x
  3. Step 3: Cross multiply
    13,122x = 19,646.28 × 8,179.32
  4. Step 4: Simplify right side
    13,122x = 160,693,210.93
  5. Step 5: Solve for x
    x = 160,693,210.93/13,122
  6. Step 6: Final answer
    x = 12,246.09

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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.