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Finding the Fourth Proportional to 3,954.06, 5,931.74 and 1,489.10

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Solution

The fourth proportional to 3,954.06, 5,931.74 and 1,489.10 is: 2,233.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,954.06 : 5,931.74 = 1,489.10 : x
  2. Step 2: Convert to fraction form
    3,954.06/5,931.74 = 1,489.10/x
  3. Step 3: Cross multiply
    3,954.06x = 5,931.74 × 1,489.10
  4. Step 4: Simplify right side
    3,954.06x = 8,832,928.10
  5. Step 5: Solve for x
    x = 8,832,928.10/3,954.06
  6. Step 6: Final answer
    x = 2,233.89

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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.