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Finding the Fourth Proportional to 13,588.76, 18,748.01 and 8,209.19

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Solution

The fourth proportional to 13,588.76, 18,748.01 and 8,209.19 is: 11,325.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,588.76 : 18,748.01 = 8,209.19 : x
  2. Step 2: Convert to fraction form
    13,588.76/18,748.01 = 8,209.19/x
  3. Step 3: Cross multiply
    13,588.76x = 18,748.01 × 8,209.19
  4. Step 4: Simplify right side
    13,588.76x = 153,905,861.95
  5. Step 5: Solve for x
    x = 153,905,861.95/13,588.76
  6. Step 6: Final answer
    x = 11,325.97

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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.