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Finding the Fourth Proportional to 3,407.84, 5,111.16 and 942.87

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Solution

The fourth proportional to 3,407.84, 5,111.16 and 942.87 is: 1,414.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.84 : 5,111.16 = 942.87 : x
  2. Step 2: Convert to fraction form
    3,407.84/5,111.16 = 942.87/x
  3. Step 3: Cross multiply
    3,407.84x = 5,111.16 × 942.87
  4. Step 4: Simplify right side
    3,407.84x = 4,819,159.43
  5. Step 5: Solve for x
    x = 4,819,159.43/3,407.84
  6. Step 6: Final answer
    x = 1,414.14

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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.