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Finding the Fourth Proportional to 15,768.72, 23,653.02 and 5,239.53

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Solution

The fourth proportional to 15,768.72, 23,653.02 and 5,239.53 is: 7,859.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,768.72 : 23,653.02 = 5,239.53 : x
  2. Step 2: Convert to fraction form
    15,768.72/23,653.02 = 5,239.53/x
  3. Step 3: Cross multiply
    15,768.72x = 23,653.02 × 5,239.53
  4. Step 4: Simplify right side
    15,768.72x = 123,930,707.88
  5. Step 5: Solve for x
    x = 123,930,707.88/15,768.72
  6. Step 6: Final answer
    x = 7,859.28

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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.