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Finding the Fourth Proportional to 6,499.89, 8,966.82 and 4,108.77

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Solution

The fourth proportional to 6,499.89, 8,966.82 and 4,108.77 is: 5,668.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,499.89 : 8,966.82 = 4,108.77 : x
  2. Step 2: Convert to fraction form
    6,499.89/8,966.82 = 4,108.77/x
  3. Step 3: Cross multiply
    6,499.89x = 8,966.82 × 4,108.77
  4. Step 4: Simplify right side
    6,499.89x = 36,842,601.01
  5. Step 5: Solve for x
    x = 36,842,601.01/6,499.89
  6. Step 6: Final answer
    x = 5,668.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.