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Finding the Fourth Proportional to 3,114.41, 4,670.91 and 922.55

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Solution

The fourth proportional to 3,114.41, 4,670.91 and 922.55 is: 1,383.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.41 : 4,670.91 = 922.55 : x
  2. Step 2: Convert to fraction form
    3,114.41/4,670.91 = 922.55/x
  3. Step 3: Cross multiply
    3,114.41x = 4,670.91 × 922.55
  4. Step 4: Simplify right side
    3,114.41x = 4,309,124.67
  5. Step 5: Solve for x
    x = 4,309,124.67/3,114.41
  6. Step 6: Final answer
    x = 1,383.61

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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.