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Finding the Fourth Proportional to 12,429, 18,643.68 and 3,195

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Solution

The fourth proportional to 12,429, 18,643.68 and 3,195 is: 4,792.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,429 : 18,643.68 = 3,195 : x
  2. Step 2: Convert to fraction form
    12,429/18,643.68 = 3,195/x
  3. Step 3: Cross multiply
    12,429x = 18,643.68 × 3,195
  4. Step 4: Simplify right side
    12,429x = 59,566,557.60
  5. Step 5: Solve for x
    x = 59,566,557.60/12,429
  6. Step 6: Final answer
    x = 4,792.55

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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.