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Finding the Fourth Proportional to 11,815, 16,307.60 and 6,849.88

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Solution

The fourth proportional to 11,815, 16,307.60 and 6,849.88 is: 9,454.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,815 : 16,307.60 = 6,849.88 : x
  2. Step 2: Convert to fraction form
    11,815/16,307.60 = 6,849.88/x
  3. Step 3: Cross multiply
    11,815x = 16,307.60 × 6,849.88
  4. Step 4: Simplify right side
    11,815x = 111,705,103.09
  5. Step 5: Solve for x
    x = 111,705,103.09/11,815
  6. Step 6: Final answer
    x = 9,454.52

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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.