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Finding the Fourth Proportional to 11,798.88, 16,279.84 and 6,828

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Solution

The fourth proportional to 11,798.88, 16,279.84 and 6,828 is: 9,421.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,798.88 : 16,279.84 = 6,828 : x
  2. Step 2: Convert to fraction form
    11,798.88/16,279.84 = 6,828/x
  3. Step 3: Cross multiply
    11,798.88x = 16,279.84 × 6,828
  4. Step 4: Simplify right side
    11,798.88x = 111,158,747.52
  5. Step 5: Solve for x
    x = 111,158,747.52/11,798.88
  6. Step 6: Final answer
    x = 9,421.13

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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.