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Finding the Fourth Proportional to 6,653.09, 9,986.57 and 2,957.94

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Solution

The fourth proportional to 6,653.09, 9,986.57 and 2,957.94 is: 4,439.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,653.09 : 9,986.57 = 2,957.94 : x
  2. Step 2: Convert to fraction form
    6,653.09/9,986.57 = 2,957.94/x
  3. Step 3: Cross multiply
    6,653.09x = 9,986.57 × 2,957.94
  4. Step 4: Simplify right side
    6,653.09x = 29,539,674.87
  5. Step 5: Solve for x
    x = 29,539,674.87/6,653.09
  6. Step 6: Final answer
    x = 4,439.99

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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.