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Finding the Fourth Proportional to 6,657.73, 9,986.59 and 3,146.58

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Solution

The fourth proportional to 6,657.73, 9,986.59 and 3,146.58 is: 4,719.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,657.73 : 9,986.59 = 3,146.58 : x
  2. Step 2: Convert to fraction form
    6,657.73/9,986.59 = 3,146.58/x
  3. Step 3: Cross multiply
    6,657.73x = 9,986.59 × 3,146.58
  4. Step 4: Simplify right side
    6,657.73x = 31,423,604.36
  5. Step 5: Solve for x
    x = 31,423,604.36/6,657.73
  6. Step 6: Final answer
    x = 4,719.87

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1.5x scale

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.