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Finding the Fourth Proportional to 14,575.91, 21,858.50 and 5,213.39

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Solution

The fourth proportional to 14,575.91, 21,858.50 and 5,213.39 is: 7,818.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,575.91 : 21,858.50 = 5,213.39 : x
  2. Step 2: Convert to fraction form
    14,575.91/21,858.50 = 5,213.39/x
  3. Step 3: Cross multiply
    14,575.91x = 21,858.50 × 5,213.39
  4. Step 4: Simplify right side
    14,575.91x = 113,956,749.96
  5. Step 5: Solve for x
    x = 113,956,749.96/14,575.91
  6. Step 6: Final answer
    x = 7,818.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.