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Finding the Fourth Proportional to 5,817.76, 8,721.43 and 2,854.58

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Solution

The fourth proportional to 5,817.76, 8,721.43 and 2,854.58 is: 4,279.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,817.76 : 8,721.43 = 2,854.58 : x
  2. Step 2: Convert to fraction form
    5,817.76/8,721.43 = 2,854.58/x
  3. Step 3: Cross multiply
    5,817.76x = 8,721.43 × 2,854.58
  4. Step 4: Simplify right side
    5,817.76x = 24,895,968.91
  5. Step 5: Solve for x
    x = 24,895,968.91/5,817.76
  6. Step 6: Final answer
    x = 4,279.31

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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.