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Finding the Fourth Proportional to 6,701.98, 9,989.84 and 6,489.70

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Solution

The fourth proportional to 6,701.98, 9,989.84 and 6,489.70 is: 9,673.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,701.98 : 9,989.84 = 6,489.70 : x
  2. Step 2: Convert to fraction form
    6,701.98/9,989.84 = 6,489.70/x
  3. Step 3: Cross multiply
    6,701.98x = 9,989.84 × 6,489.70
  4. Step 4: Simplify right side
    6,701.98x = 64,831,064.65
  5. Step 5: Solve for x
    x = 64,831,064.65/6,701.98
  6. Step 6: Final answer
    x = 9,673.42

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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.