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Finding the Fourth Proportional to 4,243, 5,855.36 and 2,380

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Solution

The fourth proportional to 4,243, 5,855.36 and 2,380 is: 3,284.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,243 : 5,855.36 = 2,380 : x
  2. Step 2: Convert to fraction form
    4,243/5,855.36 = 2,380/x
  3. Step 3: Cross multiply
    4,243x = 5,855.36 × 2,380
  4. Step 4: Simplify right side
    4,243x = 13,935,756.80
  5. Step 5: Solve for x
    x = 13,935,756.80/4,243
  6. Step 6: Final answer
    x = 3,284.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.