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Finding the Fourth Proportional to 5,217.64, 7,819.71 and 3,980.50

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Solution

The fourth proportional to 5,217.64, 7,819.71 and 3,980.50 is: 5,965.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,217.64 : 7,819.71 = 3,980.50 : x
  2. Step 2: Convert to fraction form
    5,217.64/7,819.71 = 3,980.50/x
  3. Step 3: Cross multiply
    5,217.64x = 7,819.71 × 3,980.50
  4. Step 4: Simplify right side
    5,217.64x = 31,126,355.66
  5. Step 5: Solve for x
    x = 31,126,355.66/5,217.64
  6. Step 6: Final answer
    x = 5,965.60

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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.