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Finding the Fourth Proportional to 13,210, 18,230.61 and 7,621

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Solution

The fourth proportional to 13,210, 18,230.61 and 7,621 is: 10,517.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,210 : 18,230.61 = 7,621 : x
  2. Step 2: Convert to fraction form
    13,210/18,230.61 = 7,621/x
  3. Step 3: Cross multiply
    13,210x = 18,230.61 × 7,621
  4. Step 4: Simplify right side
    13,210x = 138,935,478.81
  5. Step 5: Solve for x
    x = 138,935,478.81/13,210
  6. Step 6: Final answer
    x = 10,517.45

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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.