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Finding the Fourth Proportional to 6,803.24, 9,380.74 and 6,139.88

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Solution

The fourth proportional to 6,803.24, 9,380.74 and 6,139.88 is: 8,466.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,803.24 : 9,380.74 = 6,139.88 : x
  2. Step 2: Convert to fraction form
    6,803.24/9,380.74 = 6,139.88/x
  3. Step 3: Cross multiply
    6,803.24x = 9,380.74 × 6,139.88
  4. Step 4: Simplify right side
    6,803.24x = 57,596,617.91
  5. Step 5: Solve for x
    x = 57,596,617.91/6,803.24
  6. Step 6: Final answer
    x = 8,466.06

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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.