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Finding the Fourth Proportional to 7,817.49, 11,625.84 and 7,571.43

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Solution

The fourth proportional to 7,817.49, 11,625.84 and 7,571.43 is: 11,259.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,817.49 : 11,625.84 = 7,571.43 : x
  2. Step 2: Convert to fraction form
    7,817.49/11,625.84 = 7,571.43/x
  3. Step 3: Cross multiply
    7,817.49x = 11,625.84 × 7,571.43
  4. Step 4: Simplify right side
    7,817.49x = 88,024,233.75
  5. Step 5: Solve for x
    x = 88,024,233.75/7,817.49
  6. Step 6: Final answer
    x = 11,259.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.