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Finding the Fourth Proportional to 7,611, 11,407.92 and 5,756.10

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Solution

The fourth proportional to 7,611, 11,407.92 and 5,756.10 is: 8,627.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,611 : 11,407.92 = 5,756.10 : x
  2. Step 2: Convert to fraction form
    7,611/11,407.92 = 5,756.10/x
  3. Step 3: Cross multiply
    7,611x = 11,407.92 × 5,756.10
  4. Step 4: Simplify right side
    7,611x = 65,665,128.31
  5. Step 5: Solve for x
    x = 65,665,128.31/7,611
  6. Step 6: Final answer
    x = 8,627.66

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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.