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Finding the Fourth Proportional to 3,951.48, 5,931.81 and 2,309.21

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Solution

The fourth proportional to 3,951.48, 5,931.81 and 2,309.21 is: 3,466.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,951.48 : 5,931.81 = 2,309.21 : x
  2. Step 2: Convert to fraction form
    3,951.48/5,931.81 = 2,309.21/x
  3. Step 3: Cross multiply
    3,951.48x = 5,931.81 × 2,309.21
  4. Step 4: Simplify right side
    3,951.48x = 13,697,778.90
  5. Step 5: Solve for x
    x = 13,697,778.90/3,951.48
  6. Step 6: Final answer
    x = 3,466.49

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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.