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Finding the Fourth Proportional to 12,454.97, 17,188.71 and 7,611.77

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Solution

The fourth proportional to 12,454.97, 17,188.71 and 7,611.77 is: 10,504.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,454.97 : 17,188.71 = 7,611.77 : x
  2. Step 2: Convert to fraction form
    12,454.97/17,188.71 = 7,611.77/x
  3. Step 3: Cross multiply
    12,454.97x = 17,188.71 × 7,611.77
  4. Step 4: Simplify right side
    12,454.97x = 130,836,521.54
  5. Step 5: Solve for x
    x = 130,836,521.54/12,454.97
  6. Step 6: Final answer
    x = 10,504.77

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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.