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Finding the Fourth Proportional to 10,006.80, 15,010.20 and 2,611.50

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Solution

The fourth proportional to 10,006.80, 15,010.20 and 2,611.50 is: 3,917.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,006.80 : 15,010.20 = 2,611.50 : x
  2. Step 2: Convert to fraction form
    10,006.80/15,010.20 = 2,611.50/x
  3. Step 3: Cross multiply
    10,006.80x = 15,010.20 × 2,611.50
  4. Step 4: Simplify right side
    10,006.80x = 39,199,137.30
  5. Step 5: Solve for x
    x = 39,199,137.30/10,006.80
  6. Step 6: Final answer
    x = 3,917.25

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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.