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Finding the Fourth Proportional to 13,408.30, 18,503.54 and 7,440.09

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Solution

The fourth proportional to 13,408.30, 18,503.54 and 7,440.09 is: 10,267.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,408.30 : 18,503.54 = 7,440.09 : x
  2. Step 2: Convert to fraction form
    13,408.30/18,503.54 = 7,440.09/x
  3. Step 3: Cross multiply
    13,408.30x = 18,503.54 × 7,440.09
  4. Step 4: Simplify right side
    13,408.30x = 137,668,002.92
  5. Step 5: Solve for x
    x = 137,668,002.92/13,408.30
  6. Step 6: Final answer
    x = 10,267.37

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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.