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Finding the Fourth Proportional to 10,636.60, 15,983.06 and 5,709.88

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Solution

The fourth proportional to 10,636.60, 15,983.06 and 5,709.88 is: 8,579.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,636.60 : 15,983.06 = 5,709.88 : x
  2. Step 2: Convert to fraction form
    10,636.60/15,983.06 = 5,709.88/x
  3. Step 3: Cross multiply
    10,636.60x = 15,983.06 × 5,709.88
  4. Step 4: Simplify right side
    10,636.60x = 91,261,354.63
  5. Step 5: Solve for x
    x = 91,261,354.63/10,636.60
  6. Step 6: Final answer
    x = 8,579.94

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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.