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Finding the Fourth Proportional to 14,575.72, 21,859 and 5,214.44

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Solution

The fourth proportional to 14,575.72, 21,859 and 5,214.44 is: 7,820.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,575.72 : 21,859 = 5,214.44 : x
  2. Step 2: Convert to fraction form
    14,575.72/21,859 = 5,214.44/x
  3. Step 3: Cross multiply
    14,575.72x = 21,859 × 5,214.44
  4. Step 4: Simplify right side
    14,575.72x = 113,982,443.96
  5. Step 5: Solve for x
    x = 113,982,443.96/14,575.72
  6. Step 6: Final answer
    x = 7,820.02

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Why These Related Problems?

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