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Finding the Fourth Proportional to 13,210, 18,229.88 and 7,241.68

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Solution

The fourth proportional to 13,210, 18,229.88 and 7,241.68 is: 9,993.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,210 : 18,229.88 = 7,241.68 : x
  2. Step 2: Convert to fraction form
    13,210/18,229.88 = 7,241.68/x
  3. Step 3: Cross multiply
    13,210x = 18,229.88 × 7,241.68
  4. Step 4: Simplify right side
    13,210x = 132,014,957.40
  5. Step 5: Solve for x
    x = 132,014,957.40/13,210
  6. Step 6: Final answer
    x = 9,993.56

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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.