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Finding the Fourth Proportional to 5,238.52, 7,857.36 and 3,045.84

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Solution

The fourth proportional to 5,238.52, 7,857.36 and 3,045.84 is: 4,568.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,238.52 : 7,857.36 = 3,045.84 : x
  2. Step 2: Convert to fraction form
    5,238.52/7,857.36 = 3,045.84/x
  3. Step 3: Cross multiply
    5,238.52x = 7,857.36 × 3,045.84
  4. Step 4: Simplify right side
    5,238.52x = 23,932,261.38
  5. Step 5: Solve for x
    x = 23,932,261.38/5,238.52
  6. Step 6: Final answer
    x = 4,568.52

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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.