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Finding the Fourth Proportional to 6,891.60, 10,341 and 6,519.84

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Solution

The fourth proportional to 6,891.60, 10,341 and 6,519.84 is: 9,783.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,891.60 : 10,341 = 6,519.84 : x
  2. Step 2: Convert to fraction form
    6,891.60/10,341 = 6,519.84/x
  3. Step 3: Cross multiply
    6,891.60x = 10,341 × 6,519.84
  4. Step 4: Simplify right side
    6,891.60x = 67,421,665.44
  5. Step 5: Solve for x
    x = 67,421,665.44/6,891.60
  6. Step 6: Final answer
    x = 9,783.17

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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.