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Finding the Fourth Proportional to 14,408.52, 19,872.22 and 9,931.24

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Solution

The fourth proportional to 14,408.52, 19,872.22 and 9,931.24 is: 13,697.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,408.52 : 19,872.22 = 9,931.24 : x
  2. Step 2: Convert to fraction form
    14,408.52/19,872.22 = 9,931.24/x
  3. Step 3: Cross multiply
    14,408.52x = 19,872.22 × 9,931.24
  4. Step 4: Simplify right side
    14,408.52x = 197,355,786.15
  5. Step 5: Solve for x
    x = 197,355,786.15/14,408.52
  6. Step 6: Final answer
    x = 13,697.16

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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.