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Finding the Fourth Proportional to 6,562.49, 9,846.77 and 3,053.43

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Solution

The fourth proportional to 6,562.49, 9,846.77 and 3,053.43 is: 4,581.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,562.49 : 9,846.77 = 3,053.43 : x
  2. Step 2: Convert to fraction form
    6,562.49/9,846.77 = 3,053.43/x
  3. Step 3: Cross multiply
    6,562.49x = 9,846.77 × 3,053.43
  4. Step 4: Simplify right side
    6,562.49x = 30,066,407.65
  5. Step 5: Solve for x
    x = 30,066,407.65/6,562.49
  6. Step 6: Final answer
    x = 4,581.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.