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Finding the Fourth Proportional to 3,134, 4,701.47 and 942.68

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Solution

The fourth proportional to 3,134, 4,701.47 and 942.68 is: 1,414.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,134 : 4,701.47 = 942.68 : x
  2. Step 2: Convert to fraction form
    3,134/4,701.47 = 942.68/x
  3. Step 3: Cross multiply
    3,134x = 4,701.47 × 942.68
  4. Step 4: Simplify right side
    3,134x = 4,431,981.74
  5. Step 5: Solve for x
    x = 4,431,981.74/3,134
  6. Step 6: Final answer
    x = 1,414.16

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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.