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Finding the Fourth Proportional to 6,499.50, 8,969.50 and 3,705

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Solution

The fourth proportional to 6,499.50, 8,969.50 and 3,705 is: 5,113.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,499.50 : 8,969.50 = 3,705 : x
  2. Step 2: Convert to fraction form
    6,499.50/8,969.50 = 3,705/x
  3. Step 3: Cross multiply
    6,499.50x = 8,969.50 × 3,705
  4. Step 4: Simplify right side
    6,499.50x = 33,231,997.50
  5. Step 5: Solve for x
    x = 33,231,997.50/6,499.50
  6. Step 6: Final answer
    x = 5,113.01

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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.