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Finding the Fourth Proportional to 5,981.70, 8,255.70 and 4,308.69

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Solution

The fourth proportional to 5,981.70, 8,255.70 and 4,308.69 is: 5,946.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,981.70 : 8,255.70 = 4,308.69 : x
  2. Step 2: Convert to fraction form
    5,981.70/8,255.70 = 4,308.69/x
  3. Step 3: Cross multiply
    5,981.70x = 8,255.70 × 4,308.69
  4. Step 4: Simplify right side
    5,981.70x = 35,571,252.03
  5. Step 5: Solve for x
    x = 35,571,252.03/5,981.70
  6. Step 6: Final answer
    x = 5,946.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.