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Finding the Fourth Proportional to 11,705.70, 16,154.96 and 6,401.30

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Solution

The fourth proportional to 11,705.70, 16,154.96 and 6,401.30 is: 8,834.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,705.70 : 16,154.96 = 6,401.30 : x
  2. Step 2: Convert to fraction form
    11,705.70/16,154.96 = 6,401.30/x
  3. Step 3: Cross multiply
    11,705.70x = 16,154.96 × 6,401.30
  4. Step 4: Simplify right side
    11,705.70x = 103,412,745.45
  5. Step 5: Solve for x
    x = 103,412,745.45/11,705.70
  6. Step 6: Final answer
    x = 8,834.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.