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Finding the Fourth Proportional to 3,816.84, 5,294.16 and 3,715.68

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Solution

The fourth proportional to 3,816.84, 5,294.16 and 3,715.68 is: 5,153.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,816.84 : 5,294.16 = 3,715.68 : x
  2. Step 2: Convert to fraction form
    3,816.84/5,294.16 = 3,715.68/x
  3. Step 3: Cross multiply
    3,816.84x = 5,294.16 × 3,715.68
  4. Step 4: Simplify right side
    3,816.84x = 19,671,404.43
  5. Step 5: Solve for x
    x = 19,671,404.43/3,816.84
  6. Step 6: Final answer
    x = 5,153.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.