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Finding the Fourth Proportional to 11,908.47, 17,862.86 and 8,209.71

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Solution

The fourth proportional to 11,908.47, 17,862.86 and 8,209.71 is: 12,314.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,908.47 : 17,862.86 = 8,209.71 : x
  2. Step 2: Convert to fraction form
    11,908.47/17,862.86 = 8,209.71/x
  3. Step 3: Cross multiply
    11,908.47x = 17,862.86 × 8,209.71
  4. Step 4: Simplify right side
    11,908.47x = 146,648,900.37
  5. Step 5: Solve for x
    x = 146,648,900.37/11,908.47
  6. Step 6: Final answer
    x = 12,314.67

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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.