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Finding the Fourth Proportional to 6,905.88, 10,309.59 and 6,662.88

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Solution

The fourth proportional to 6,905.88, 10,309.59 and 6,662.88 is: 9,946.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,905.88 : 10,309.59 = 6,662.88 : x
  2. Step 2: Convert to fraction form
    6,905.88/10,309.59 = 6,662.88/x
  3. Step 3: Cross multiply
    6,905.88x = 10,309.59 × 6,662.88
  4. Step 4: Simplify right side
    6,905.88x = 68,691,561.02
  5. Step 5: Solve for x
    x = 68,691,561.02/6,905.88
  6. Step 6: Final answer
    x = 9,946.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.