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Finding the Fourth Proportional to 11,608.34, 17,383.34 and 8,319.74

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Solution

The fourth proportional to 11,608.34, 17,383.34 and 8,319.74 is: 12,458.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,608.34 : 17,383.34 = 8,319.74 : x
  2. Step 2: Convert to fraction form
    11,608.34/17,383.34 = 8,319.74/x
  3. Step 3: Cross multiply
    11,608.34x = 17,383.34 × 8,319.74
  4. Step 4: Simplify right side
    11,608.34x = 144,624,869.13
  5. Step 5: Solve for x
    x = 144,624,869.13/11,608.34
  6. Step 6: Final answer
    x = 12,458.70

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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.