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Finding the Fourth Proportional to 5,249, 7,871.94 and 2,474.12

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Solution

The fourth proportional to 5,249, 7,871.94 and 2,474.12 is: 3,710.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,249 : 7,871.94 = 2,474.12 : x
  2. Step 2: Convert to fraction form
    5,249/7,871.94 = 2,474.12/x
  3. Step 3: Cross multiply
    5,249x = 7,871.94 × 2,474.12
  4. Step 4: Simplify right side
    5,249x = 19,476,124.19
  5. Step 5: Solve for x
    x = 19,476,124.19/5,249
  6. Step 6: Final answer
    x = 3,710.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.