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Finding the Fourth Proportional to 3,199.47, 4,797.14 and 2,100.50

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Solution

The fourth proportional to 3,199.47, 4,797.14 and 2,100.50 is: 3,149.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,199.47 : 4,797.14 = 2,100.50 : x
  2. Step 2: Convert to fraction form
    3,199.47/4,797.14 = 2,100.50/x
  3. Step 3: Cross multiply
    3,199.47x = 4,797.14 × 2,100.50
  4. Step 4: Simplify right side
    3,199.47x = 10,076,387.89
  5. Step 5: Solve for x
    x = 10,076,387.89/3,199.47
  6. Step 6: Final answer
    x = 3,149.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.