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Finding the Fourth Proportional to 12,954.60, 19,431.90 and 3,719.40

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Solution

The fourth proportional to 12,954.60, 19,431.90 and 3,719.40 is: 5,579.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,954.60 : 19,431.90 = 3,719.40 : x
  2. Step 2: Convert to fraction form
    12,954.60/19,431.90 = 3,719.40/x
  3. Step 3: Cross multiply
    12,954.60x = 19,431.90 × 3,719.40
  4. Step 4: Simplify right side
    12,954.60x = 72,275,008.86
  5. Step 5: Solve for x
    x = 72,275,008.86/12,954.60
  6. Step 6: Final answer
    x = 5,579.10

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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.