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Finding the Fourth Proportional to 11,997.84, 17,959.84 and 7,828.88

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Solution

The fourth proportional to 11,997.84, 17,959.84 and 7,828.88 is: 11,719.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,997.84 : 17,959.84 = 7,828.88 : x
  2. Step 2: Convert to fraction form
    11,997.84/17,959.84 = 7,828.88/x
  3. Step 3: Cross multiply
    11,997.84x = 17,959.84 × 7,828.88
  4. Step 4: Simplify right side
    11,997.84x = 140,605,432.18
  5. Step 5: Solve for x
    x = 140,605,432.18/11,997.84
  6. Step 6: Final answer
    x = 11,719.23

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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.