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Finding the Fourth Proportional to 12,687.94, 17,509.21 and 7,022.70

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Solution

The fourth proportional to 12,687.94, 17,509.21 and 7,022.70 is: 9,691.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,687.94 : 17,509.21 = 7,022.70 : x
  2. Step 2: Convert to fraction form
    12,687.94/17,509.21 = 7,022.70/x
  3. Step 3: Cross multiply
    12,687.94x = 17,509.21 × 7,022.70
  4. Step 4: Simplify right side
    12,687.94x = 122,961,951.01
  5. Step 5: Solve for x
    x = 122,961,951.01/12,687.94
  6. Step 6: Final answer
    x = 9,691.25

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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.