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Finding the Fourth Proportional to 5,661.15, 8,491.73 and 1,765.95

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Solution

The fourth proportional to 5,661.15, 8,491.73 and 1,765.95 is: 2,648.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,661.15 : 8,491.73 = 1,765.95 : x
  2. Step 2: Convert to fraction form
    5,661.15/8,491.73 = 1,765.95/x
  3. Step 3: Cross multiply
    5,661.15x = 8,491.73 × 1,765.95
  4. Step 4: Simplify right side
    5,661.15x = 14,995,961.76
  5. Step 5: Solve for x
    x = 14,995,961.76/5,661.15
  6. Step 6: Final answer
    x = 2,648.93

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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.