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Finding the Fourth Proportional to 12,954.40, 19,432 and 4,189.40

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Solution

The fourth proportional to 12,954.40, 19,432 and 4,189.40 is: 6,284.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,954.40 : 19,432 = 4,189.40 : x
  2. Step 2: Convert to fraction form
    12,954.40/19,432 = 4,189.40/x
  3. Step 3: Cross multiply
    12,954.40x = 19,432 × 4,189.40
  4. Step 4: Simplify right side
    12,954.40x = 81,408,420.80
  5. Step 5: Solve for x
    x = 81,408,420.80/12,954.40
  6. Step 6: Final answer
    x = 6,284.23

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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.