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Finding the Fourth Proportional to 3,925, 5,416.98 and 2,269

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Solution

The fourth proportional to 3,925, 5,416.98 and 2,269 is: 3,131.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,925 : 5,416.98 = 2,269 : x
  2. Step 2: Convert to fraction form
    3,925/5,416.98 = 2,269/x
  3. Step 3: Cross multiply
    3,925x = 5,416.98 × 2,269
  4. Step 4: Simplify right side
    3,925x = 12,291,127.62
  5. Step 5: Solve for x
    x = 12,291,127.62/3,925
  6. Step 6: Final answer
    x = 3,131.50

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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.