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Finding the Fourth Proportional to 13,630, 18,809.24 and 7,662.68

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Solution

The fourth proportional to 13,630, 18,809.24 and 7,662.68 is: 10,574.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,630 : 18,809.24 = 7,662.68 : x
  2. Step 2: Convert to fraction form
    13,630/18,809.24 = 7,662.68/x
  3. Step 3: Cross multiply
    13,630x = 18,809.24 × 7,662.68
  4. Step 4: Simplify right side
    13,630x = 144,129,187.16
  5. Step 5: Solve for x
    x = 144,129,187.16/13,630
  6. Step 6: Final answer
    x = 10,574.41

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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.