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Finding the Fourth Proportional to 5,905.79, 8,143.23 and 4,411.19

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Solution

The fourth proportional to 5,905.79, 8,143.23 and 4,411.19 is: 6,082.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,905.79 : 8,143.23 = 4,411.19 : x
  2. Step 2: Convert to fraction form
    5,905.79/8,143.23 = 4,411.19/x
  3. Step 3: Cross multiply
    5,905.79x = 8,143.23 × 4,411.19
  4. Step 4: Simplify right side
    5,905.79x = 35,921,334.74
  5. Step 5: Solve for x
    x = 35,921,334.74/5,905.79
  6. Step 6: Final answer
    x = 6,082.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.