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Finding the Fourth Proportional to 12,954.94, 19,432.41 and 3,720.94

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Solution

The fourth proportional to 12,954.94, 19,432.41 and 3,720.94 is: 5,581.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,954.94 : 19,432.41 = 3,720.94 : x
  2. Step 2: Convert to fraction form
    12,954.94/19,432.41 = 3,720.94/x
  3. Step 3: Cross multiply
    12,954.94x = 19,432.41 × 3,720.94
  4. Step 4: Simplify right side
    12,954.94x = 72,306,769.13
  5. Step 5: Solve for x
    x = 72,306,769.13/12,954.94
  6. Step 6: Final answer
    x = 5,581.41

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1.5x scale

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.