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Finding the Fourth Proportional to 3,458.71, 5,188.02 and 861.67

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Solution

The fourth proportional to 3,458.71, 5,188.02 and 861.67 is: 1,292.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,458.71 : 5,188.02 = 861.67 : x
  2. Step 2: Convert to fraction form
    3,458.71/5,188.02 = 861.67/x
  3. Step 3: Cross multiply
    3,458.71x = 5,188.02 × 861.67
  4. Step 4: Simplify right side
    3,458.71x = 4,470,361.19
  5. Step 5: Solve for x
    x = 4,470,361.19/3,458.71
  6. Step 6: Final answer
    x = 1,292.49

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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.