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Finding the Fourth Proportional to 13,408, 18,503.36 and 7,520

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Solution

The fourth proportional to 13,408, 18,503.36 and 7,520 is: 10,377.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,408 : 18,503.36 = 7,520 : x
  2. Step 2: Convert to fraction form
    13,408/18,503.36 = 7,520/x
  3. Step 3: Cross multiply
    13,408x = 18,503.36 × 7,520
  4. Step 4: Simplify right side
    13,408x = 139,145,267.20
  5. Step 5: Solve for x
    x = 139,145,267.20/13,408
  6. Step 6: Final answer
    x = 10,377.78

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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.