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Finding the Fourth Proportional to 3,188.16, 4,781.40 and 879.12

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Solution

The fourth proportional to 3,188.16, 4,781.40 and 879.12 is: 1,318.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188.16 : 4,781.40 = 879.12 : x
  2. Step 2: Convert to fraction form
    3,188.16/4,781.40 = 879.12/x
  3. Step 3: Cross multiply
    3,188.16x = 4,781.40 × 879.12
  4. Step 4: Simplify right side
    3,188.16x = 4,203,424.37
  5. Step 5: Solve for x
    x = 4,203,424.37/3,188.16
  6. Step 6: Final answer
    x = 1,318.45

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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.