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Finding the Fourth Proportional to 13,638.03, 18,819.68 and 7,588.11

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Solution

The fourth proportional to 13,638.03, 18,819.68 and 7,588.11 is: 10,471.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,638.03 : 18,819.68 = 7,588.11 : x
  2. Step 2: Convert to fraction form
    13,638.03/18,819.68 = 7,588.11/x
  3. Step 3: Cross multiply
    13,638.03x = 18,819.68 × 7,588.11
  4. Step 4: Simplify right side
    13,638.03x = 142,805,764.06
  5. Step 5: Solve for x
    x = 142,805,764.06/13,638.03
  6. Step 6: Final answer
    x = 10,471.14

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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.