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Finding the Fourth Proportional to 16,951.74, 23,378.67 and 13,408.74

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Solution

The fourth proportional to 16,951.74, 23,378.67 and 13,408.74 is: 18,492.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,951.74 : 23,378.67 = 13,408.74 : x
  2. Step 2: Convert to fraction form
    16,951.74/23,378.67 = 13,408.74/x
  3. Step 3: Cross multiply
    16,951.74x = 23,378.67 × 13,408.74
  4. Step 4: Simplify right side
    16,951.74x = 313,478,507.58
  5. Step 5: Solve for x
    x = 313,478,507.58/16,951.74
  6. Step 6: Final answer
    x = 18,492.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.