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Finding the Fourth Proportional to 13,409.34, 18,504 and 7,440.63

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Solution

The fourth proportional to 13,409.34, 18,504 and 7,440.63 is: 10,267.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,409.34 : 18,504 = 7,440.63 : x
  2. Step 2: Convert to fraction form
    13,409.34/18,504 = 7,440.63/x
  3. Step 3: Cross multiply
    13,409.34x = 18,504 × 7,440.63
  4. Step 4: Simplify right side
    13,409.34x = 137,681,417.52
  5. Step 5: Solve for x
    x = 137,681,417.52/13,409.34
  6. Step 6: Final answer
    x = 10,267.58

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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.