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Finding the Fourth Proportional to 3,885.21, 5,363.15 and 2,313

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Solution

The fourth proportional to 3,885.21, 5,363.15 and 2,313 is: 3,192.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,885.21 : 5,363.15 = 2,313 : x
  2. Step 2: Convert to fraction form
    3,885.21/5,363.15 = 2,313/x
  3. Step 3: Cross multiply
    3,885.21x = 5,363.15 × 2,313
  4. Step 4: Simplify right side
    3,885.21x = 12,404,954.39
  5. Step 5: Solve for x
    x = 12,404,954.39/3,885.21
  6. Step 6: Final answer
    x = 3,192.87

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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.