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Finding the Fourth Proportional to 6,689.64, 9,230.91 and 3,857.94

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Solution

The fourth proportional to 6,689.64, 9,230.91 and 3,857.94 is: 5,323.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,689.64 : 9,230.91 = 3,857.94 : x
  2. Step 2: Convert to fraction form
    6,689.64/9,230.91 = 3,857.94/x
  3. Step 3: Cross multiply
    6,689.64x = 9,230.91 × 3,857.94
  4. Step 4: Simplify right side
    6,689.64x = 35,612,287.28
  5. Step 5: Solve for x
    x = 35,612,287.28/6,689.64
  6. Step 6: Final answer
    x = 5,323.50

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1.5x scale

Why These Related Problems?

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