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Finding the Fourth Proportional to 11,706.34, 16,154.76 and 6,401.20

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Solution

The fourth proportional to 11,706.34, 16,154.76 and 6,401.20 is: 8,833.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,706.34 : 16,154.76 = 6,401.20 : x
  2. Step 2: Convert to fraction form
    11,706.34/16,154.76 = 6,401.20/x
  3. Step 3: Cross multiply
    11,706.34x = 16,154.76 × 6,401.20
  4. Step 4: Simplify right side
    11,706.34x = 103,409,849.71
  5. Step 5: Solve for x
    x = 103,409,849.71/11,706.34
  6. Step 6: Final answer
    x = 8,833.66

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Half scale
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Double scale
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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.