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Finding the Fourth Proportional to 12,524.81, 18,788.47 and 4,629.40

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Solution

The fourth proportional to 12,524.81, 18,788.47 and 4,629.40 is: 6,944.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,524.81 : 18,788.47 = 4,629.40 : x
  2. Step 2: Convert to fraction form
    12,524.81/18,788.47 = 4,629.40/x
  3. Step 3: Cross multiply
    12,524.81x = 18,788.47 × 4,629.40
  4. Step 4: Simplify right side
    12,524.81x = 86,979,343.02
  5. Step 5: Solve for x
    x = 86,979,343.02/12,524.81
  6. Step 6: Final answer
    x = 6,944.56

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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.