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Finding the Fourth Proportional to 6,819.60, 10,203.80 and 6,205.20

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Solution

The fourth proportional to 6,819.60, 10,203.80 and 6,205.20 is: 9,284.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,819.60 : 10,203.80 = 6,205.20 : x
  2. Step 2: Convert to fraction form
    6,819.60/10,203.80 = 6,205.20/x
  3. Step 3: Cross multiply
    6,819.60x = 10,203.80 × 6,205.20
  4. Step 4: Simplify right side
    6,819.60x = 63,316,619.76
  5. Step 5: Solve for x
    x = 63,316,619.76/6,819.60
  6. Step 6: Final answer
    x = 9,284.51

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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.