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Finding the Fourth Proportional to 13,408, 18,503.04 and 7,440.55

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Solution

The fourth proportional to 13,408, 18,503.04 and 7,440.55 is: 10,267.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,408 : 18,503.04 = 7,440.55 : x
  2. Step 2: Convert to fraction form
    13,408/18,503.04 = 7,440.55/x
  3. Step 3: Cross multiply
    13,408x = 18,503.04 × 7,440.55
  4. Step 4: Simplify right side
    13,408x = 137,672,794.27
  5. Step 5: Solve for x
    x = 137,672,794.27/13,408
  6. Step 6: Final answer
    x = 10,267.96

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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.