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Finding the Fourth Proportional to 11,907.47, 17,861.36 and 8,208.71

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Solution

The fourth proportional to 11,907.47, 17,861.36 and 8,208.71 is: 12,313.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,907.47 : 17,861.36 = 8,208.71 : x
  2. Step 2: Convert to fraction form
    11,907.47/17,861.36 = 8,208.71/x
  3. Step 3: Cross multiply
    11,907.47x = 17,861.36 × 8,208.71
  4. Step 4: Simplify right side
    11,907.47x = 146,618,683.40
  5. Step 5: Solve for x
    x = 146,618,683.40/11,907.47
  6. Step 6: Final answer
    x = 12,313.17

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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.