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Finding the Fourth Proportional to 6,903.91, 10,355.81 and 1,709.78

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Solution

The fourth proportional to 6,903.91, 10,355.81 and 1,709.78 is: 2,564.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,903.91 : 10,355.81 = 1,709.78 : x
  2. Step 2: Convert to fraction form
    6,903.91/10,355.81 = 1,709.78/x
  3. Step 3: Cross multiply
    6,903.91x = 10,355.81 × 1,709.78
  4. Step 4: Simplify right side
    6,903.91x = 17,706,180.57
  5. Step 5: Solve for x
    x = 17,706,180.57/6,903.91
  6. Step 6: Final answer
    x = 2,564.66

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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.