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Finding the Fourth Proportional to 3,978.43, 5,487.13 and 2,783.02

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Solution

The fourth proportional to 3,978.43, 5,487.13 and 2,783.02 is: 3,838.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,978.43 : 5,487.13 = 2,783.02 : x
  2. Step 2: Convert to fraction form
    3,978.43/5,487.13 = 2,783.02/x
  3. Step 3: Cross multiply
    3,978.43x = 5,487.13 × 2,783.02
  4. Step 4: Simplify right side
    3,978.43x = 15,270,792.53
  5. Step 5: Solve for x
    x = 15,270,792.53/3,978.43
  6. Step 6: Final answer
    x = 3,838.40

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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.