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Finding the Fourth Proportional to 5,810.43, 8,714.41 and 1,912.71

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Solution

The fourth proportional to 5,810.43, 8,714.41 and 1,912.71 is: 2,868.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,810.43 : 8,714.41 = 1,912.71 : x
  2. Step 2: Convert to fraction form
    5,810.43/8,714.41 = 1,912.71/x
  3. Step 3: Cross multiply
    5,810.43x = 8,714.41 × 1,912.71
  4. Step 4: Simplify right side
    5,810.43x = 16,668,139.15
  5. Step 5: Solve for x
    x = 16,668,139.15/5,810.43
  6. Step 6: Final answer
    x = 2,868.66

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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.