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Finding the Fourth Proportional to 10,520.76, 14,519.34 and 6,799.80

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Solution

The fourth proportional to 10,520.76, 14,519.34 and 6,799.80 is: 9,384.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,520.76 : 14,519.34 = 6,799.80 : x
  2. Step 2: Convert to fraction form
    10,520.76/14,519.34 = 6,799.80/x
  3. Step 3: Cross multiply
    10,520.76x = 14,519.34 × 6,799.80
  4. Step 4: Simplify right side
    10,520.76x = 98,728,608.13
  5. Step 5: Solve for x
    x = 98,728,608.13/10,520.76
  6. Step 6: Final answer
    x = 9,384.17

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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.