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Finding the Fourth Proportional to 3,407.84, 5,111.79 and 942.79

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Solution

The fourth proportional to 3,407.84, 5,111.79 and 942.79 is: 1,414.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.84 : 5,111.79 = 942.79 : x
  2. Step 2: Convert to fraction form
    3,407.84/5,111.79 = 942.79/x
  3. Step 3: Cross multiply
    3,407.84x = 5,111.79 × 942.79
  4. Step 4: Simplify right side
    3,407.84x = 4,819,344.49
  5. Step 5: Solve for x
    x = 4,819,344.49/3,407.84
  6. Step 6: Final answer
    x = 1,414.19

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1.5x scale

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.