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Finding the Fourth Proportional to 3,416.78, 5,125.22 and 1,076.74

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Solution

The fourth proportional to 3,416.78, 5,125.22 and 1,076.74 is: 1,615.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.78 : 5,125.22 = 1,076.74 : x
  2. Step 2: Convert to fraction form
    3,416.78/5,125.22 = 1,076.74/x
  3. Step 3: Cross multiply
    3,416.78x = 5,125.22 × 1,076.74
  4. Step 4: Simplify right side
    3,416.78x = 5,518,529.38
  5. Step 5: Solve for x
    x = 5,518,529.38/3,416.78
  6. Step 6: Final answer
    x = 1,615.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.