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Finding the Fourth Proportional to 3,931.02, 5,894.49 and 3,188.66

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Solution

The fourth proportional to 3,931.02, 5,894.49 and 3,188.66 is: 4,781.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,931.02 : 5,894.49 = 3,188.66 : x
  2. Step 2: Convert to fraction form
    3,931.02/5,894.49 = 3,188.66/x
  3. Step 3: Cross multiply
    3,931.02x = 5,894.49 × 3,188.66
  4. Step 4: Simplify right side
    3,931.02x = 18,795,495.01
  5. Step 5: Solve for x
    x = 18,795,495.01/3,931.02
  6. Step 6: Final answer
    x = 4,781.33

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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.