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Finding the Fourth Proportional to 11,249.68, 15,510 and 7,706.56

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Solution

The fourth proportional to 11,249.68, 15,510 and 7,706.56 is: 10,625.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,249.68 : 15,510 = 7,706.56 : x
  2. Step 2: Convert to fraction form
    11,249.68/15,510 = 7,706.56/x
  3. Step 3: Cross multiply
    11,249.68x = 15,510 × 7,706.56
  4. Step 4: Simplify right side
    11,249.68x = 119,528,745.60
  5. Step 5: Solve for x
    x = 119,528,745.60/11,249.68
  6. Step 6: Final answer
    x = 10,625.08

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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.