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Finding the Fourth Proportional to 11,687.76, 16,128.70 and 6,969.60

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Solution

The fourth proportional to 11,687.76, 16,128.70 and 6,969.60 is: 9,617.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,687.76 : 16,128.70 = 6,969.60 : x
  2. Step 2: Convert to fraction form
    11,687.76/16,128.70 = 6,969.60/x
  3. Step 3: Cross multiply
    11,687.76x = 16,128.70 × 6,969.60
  4. Step 4: Simplify right side
    11,687.76x = 112,410,587.52
  5. Step 5: Solve for x
    x = 112,410,587.52/11,687.76
  6. Step 6: Final answer
    x = 9,617.80

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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.