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Finding the Fourth Proportional to 14,575.20, 21,819.60 and 8,743.20

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Solution

The fourth proportional to 14,575.20, 21,819.60 and 8,743.20 is: 13,088.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,575.20 : 21,819.60 = 8,743.20 : x
  2. Step 2: Convert to fraction form
    14,575.20/21,819.60 = 8,743.20/x
  3. Step 3: Cross multiply
    14,575.20x = 21,819.60 × 8,743.20
  4. Step 4: Simplify right side
    14,575.20x = 190,773,126.72
  5. Step 5: Solve for x
    x = 190,773,126.72/14,575.20
  6. Step 6: Final answer
    x = 13,088.89

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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.