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Finding the Fourth Proportional to 6,456.70, 9,683.70 and 2,759.05

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Solution

The fourth proportional to 6,456.70, 9,683.70 and 2,759.05 is: 4,138.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,456.70 : 9,683.70 = 2,759.05 : x
  2. Step 2: Convert to fraction form
    6,456.70/9,683.70 = 2,759.05/x
  3. Step 3: Cross multiply
    6,456.70x = 9,683.70 × 2,759.05
  4. Step 4: Simplify right side
    6,456.70x = 26,717,812.49
  5. Step 5: Solve for x
    x = 26,717,812.49/6,456.70
  6. Step 6: Final answer
    x = 4,138.00

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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.