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Finding the Fourth Proportional to 10,992.84, 15,169.38 and 6,800.28

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Solution

The fourth proportional to 10,992.84, 15,169.38 and 6,800.28 is: 9,383.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,992.84 : 15,169.38 = 6,800.28 : x
  2. Step 2: Convert to fraction form
    10,992.84/15,169.38 = 6,800.28/x
  3. Step 3: Cross multiply
    10,992.84x = 15,169.38 × 6,800.28
  4. Step 4: Simplify right side
    10,992.84x = 103,156,031.43
  5. Step 5: Solve for x
    x = 103,156,031.43/10,992.84
  6. Step 6: Final answer
    x = 9,383.93

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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.