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Finding the Fourth Proportional to 11,161.71, 16,705.71 and 6,156.45

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Solution

The fourth proportional to 11,161.71, 16,705.71 and 6,156.45 is: 9,214.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,161.71 : 16,705.71 = 6,156.45 : x
  2. Step 2: Convert to fraction form
    11,161.71/16,705.71 = 6,156.45/x
  3. Step 3: Cross multiply
    11,161.71x = 16,705.71 × 6,156.45
  4. Step 4: Simplify right side
    11,161.71x = 102,847,868.33
  5. Step 5: Solve for x
    x = 102,847,868.33/11,161.71
  6. Step 6: Final answer
    x = 9,214.35

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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.