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Finding the Fourth Proportional to 13,630.56, 18,809.30 and 7,662.14

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Solution

The fourth proportional to 13,630.56, 18,809.30 and 7,662.14 is: 10,573.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,630.56 : 18,809.30 = 7,662.14 : x
  2. Step 2: Convert to fraction form
    13,630.56/18,809.30 = 7,662.14/x
  3. Step 3: Cross multiply
    13,630.56x = 18,809.30 × 7,662.14
  4. Step 4: Simplify right side
    13,630.56x = 144,119,357.54
  5. Step 5: Solve for x
    x = 144,119,357.54/13,630.56
  6. Step 6: Final answer
    x = 10,573.25

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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.