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Finding the Fourth Proportional to 5,411.49, 8,111.64 and 2,945.64

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Solution

The fourth proportional to 5,411.49, 8,111.64 and 2,945.64 is: 4,415.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,411.49 : 8,111.64 = 2,945.64 : x
  2. Step 2: Convert to fraction form
    5,411.49/8,111.64 = 2,945.64/x
  3. Step 3: Cross multiply
    5,411.49x = 8,111.64 × 2,945.64
  4. Step 4: Simplify right side
    5,411.49x = 23,893,971.25
  5. Step 5: Solve for x
    x = 23,893,971.25/5,411.49
  6. Step 6: Final answer
    x = 4,415.41

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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.