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Finding the Fourth Proportional to 3,165.75, 4,750.25 and 1,411.29

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Solution

The fourth proportional to 3,165.75, 4,750.25 and 1,411.29 is: 2,117.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165.75 : 4,750.25 = 1,411.29 : x
  2. Step 2: Convert to fraction form
    3,165.75/4,750.25 = 1,411.29/x
  3. Step 3: Cross multiply
    3,165.75x = 4,750.25 × 1,411.29
  4. Step 4: Simplify right side
    3,165.75x = 6,703,973.27
  5. Step 5: Solve for x
    x = 6,703,973.27/3,165.75
  6. Step 6: Final answer
    x = 2,117.66

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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.