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Finding the Fourth Proportional to 9,949.72, 14,924.50 and 3,709.52

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Solution

The fourth proportional to 9,949.72, 14,924.50 and 3,709.52 is: 5,564.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,949.72 : 14,924.50 = 3,709.52 : x
  2. Step 2: Convert to fraction form
    9,949.72/14,924.50 = 3,709.52/x
  3. Step 3: Cross multiply
    9,949.72x = 14,924.50 × 3,709.52
  4. Step 4: Simplify right side
    9,949.72x = 55,362,731.24
  5. Step 5: Solve for x
    x = 55,362,731.24/9,949.72
  6. Step 6: Final answer
    x = 5,564.25

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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.