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Finding the Fourth Proportional to 3,199.50, 4,415.36 and 1,957.50

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Solution

The fourth proportional to 3,199.50, 4,415.36 and 1,957.50 is: 2,701.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,199.50 : 4,415.36 = 1,957.50 : x
  2. Step 2: Convert to fraction form
    3,199.50/4,415.36 = 1,957.50/x
  3. Step 3: Cross multiply
    3,199.50x = 4,415.36 × 1,957.50
  4. Step 4: Simplify right side
    3,199.50x = 8,643,057.41
  5. Step 5: Solve for x
    x = 8,643,057.41/3,199.50
  6. Step 6: Final answer
    x = 2,701.38

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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.