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Finding the Fourth Proportional to 8,644.36, 11,931 and 5,623.26

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Solution

The fourth proportional to 8,644.36, 11,931 and 5,623.26 is: 7,761.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,644.36 : 11,931 = 5,623.26 : x
  2. Step 2: Convert to fraction form
    8,644.36/11,931 = 5,623.26/x
  3. Step 3: Cross multiply
    8,644.36x = 11,931 × 5,623.26
  4. Step 4: Simplify right side
    8,644.36x = 67,091,115.06
  5. Step 5: Solve for x
    x = 67,091,115.06/8,644.36
  6. Step 6: Final answer
    x = 7,761.26

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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.