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Finding the Fourth Proportional to 12,287.76, 16,957.14 and 6,698.76

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Solution

The fourth proportional to 12,287.76, 16,957.14 and 6,698.76 is: 9,244.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,287.76 : 16,957.14 = 6,698.76 : x
  2. Step 2: Convert to fraction form
    12,287.76/16,957.14 = 6,698.76/x
  3. Step 3: Cross multiply
    12,287.76x = 16,957.14 × 6,698.76
  4. Step 4: Simplify right side
    12,287.76x = 113,591,811.15
  5. Step 5: Solve for x
    x = 113,591,811.15/12,287.76
  6. Step 6: Final answer
    x = 9,244.31

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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.