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Finding the Fourth Proportional to 12,687.75, 17,509.10 and 7,099.83

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Solution

The fourth proportional to 12,687.75, 17,509.10 and 7,099.83 is: 9,797.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,687.75 : 17,509.10 = 7,099.83 : x
  2. Step 2: Convert to fraction form
    12,687.75/17,509.10 = 7,099.83/x
  3. Step 3: Cross multiply
    12,687.75x = 17,509.10 × 7,099.83
  4. Step 4: Simplify right side
    12,687.75x = 124,311,597.95
  5. Step 5: Solve for x
    x = 124,311,597.95/12,687.75
  6. Step 6: Final answer
    x = 9,797.77

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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.