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Finding the Fourth Proportional to 5,780.85, 8,665.69 and 2,663

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Solution

The fourth proportional to 5,780.85, 8,665.69 and 2,663 is: 3,991.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,780.85 : 8,665.69 = 2,663 : x
  2. Step 2: Convert to fraction form
    5,780.85/8,665.69 = 2,663/x
  3. Step 3: Cross multiply
    5,780.85x = 8,665.69 × 2,663
  4. Step 4: Simplify right side
    5,780.85x = 23,076,732.47
  5. Step 5: Solve for x
    x = 23,076,732.47/5,780.85
  6. Step 6: Final answer
    x = 3,991.93

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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.