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Finding the Fourth Proportional to 10,449.77, 15,664.57 and 3,520.49

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Solution

The fourth proportional to 10,449.77, 15,664.57 and 3,520.49 is: 5,277.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,449.77 : 15,664.57 = 3,520.49 : x
  2. Step 2: Convert to fraction form
    10,449.77/15,664.57 = 3,520.49/x
  3. Step 3: Cross multiply
    10,449.77x = 15,664.57 × 3,520.49
  4. Step 4: Simplify right side
    10,449.77x = 55,146,962.04
  5. Step 5: Solve for x
    x = 55,146,962.04/10,449.77
  6. Step 6: Final answer
    x = 5,277.34

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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.