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Finding the Fourth Proportional to 11,706.90, 16,155 and 6,401.76

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Solution

The fourth proportional to 11,706.90, 16,155 and 6,401.76 is: 8,834.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,706.90 : 16,155 = 6,401.76 : x
  2. Step 2: Convert to fraction form
    11,706.90/16,155 = 6,401.76/x
  3. Step 3: Cross multiply
    11,706.90x = 16,155 × 6,401.76
  4. Step 4: Simplify right side
    11,706.90x = 103,420,432.80
  5. Step 5: Solve for x
    x = 103,420,432.80/11,706.90
  6. Step 6: Final answer
    x = 8,834.14

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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.