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Finding the Fourth Proportional to 8,257.89, 11,395.86 and 4,531.89

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Solution

The fourth proportional to 8,257.89, 11,395.86 and 4,531.89 is: 6,253.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,257.89 : 11,395.86 = 4,531.89 : x
  2. Step 2: Convert to fraction form
    8,257.89/11,395.86 = 4,531.89/x
  3. Step 3: Cross multiply
    8,257.89x = 11,395.86 × 4,531.89
  4. Step 4: Simplify right side
    8,257.89x = 51,644,783.98
  5. Step 5: Solve for x
    x = 51,644,783.98/8,257.89
  6. Step 6: Final answer
    x = 6,253.99

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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.