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Finding the Fourth Proportional to 4,270, 5,892.62 and 2,381.44

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Solution

The fourth proportional to 4,270, 5,892.62 and 2,381.44 is: 3,286.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,270 : 5,892.62 = 2,381.44 : x
  2. Step 2: Convert to fraction form
    4,270/5,892.62 = 2,381.44/x
  3. Step 3: Cross multiply
    4,270x = 5,892.62 × 2,381.44
  4. Step 4: Simplify right side
    4,270x = 14,032,920.97
  5. Step 5: Solve for x
    x = 14,032,920.97/4,270
  6. Step 6: Final answer
    x = 3,286.40

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1.5x scale

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.