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Finding the Fourth Proportional to 13,409, 18,504.74 and 7,521

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Solution

The fourth proportional to 13,409, 18,504.74 and 7,521 is: 10,379.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,409 : 18,504.74 = 7,521 : x
  2. Step 2: Convert to fraction form
    13,409/18,504.74 = 7,521/x
  3. Step 3: Cross multiply
    13,409x = 18,504.74 × 7,521
  4. Step 4: Simplify right side
    13,409x = 139,174,149.54
  5. Step 5: Solve for x
    x = 139,174,149.54/13,409
  6. Step 6: Final answer
    x = 10,379.16

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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.