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Finding the Fourth Proportional to 20,761.77, 31,124.14 and 7,611.08

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Solution

The fourth proportional to 20,761.77, 31,124.14 and 7,611.08 is: 11,409.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,761.77 : 31,124.14 = 7,611.08 : x
  2. Step 2: Convert to fraction form
    20,761.77/31,124.14 = 7,611.08/x
  3. Step 3: Cross multiply
    20,761.77x = 31,124.14 × 7,611.08
  4. Step 4: Simplify right side
    20,761.77x = 236,888,144.82
  5. Step 5: Solve for x
    x = 236,888,144.82/20,761.77
  6. Step 6: Final answer
    x = 11,409.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.