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Finding the Fourth Proportional to 11,521.16, 15,893.26 and 7,745.16

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Solution

The fourth proportional to 11,521.16, 15,893.26 and 7,745.16 is: 10,684.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,521.16 : 15,893.26 = 7,745.16 : x
  2. Step 2: Convert to fraction form
    11,521.16/15,893.26 = 7,745.16/x
  3. Step 3: Cross multiply
    11,521.16x = 15,893.26 × 7,745.16
  4. Step 4: Simplify right side
    11,521.16x = 123,095,841.62
  5. Step 5: Solve for x
    x = 123,095,841.62/11,521.16
  6. Step 6: Final answer
    x = 10,684.33

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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.