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Finding the Fourth Proportional to 3,199.75, 4,415.75 and 1,802.50

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Solution

The fourth proportional to 3,199.75, 4,415.75 and 1,802.50 is: 2,487.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,199.75 : 4,415.75 = 1,802.50 : x
  2. Step 2: Convert to fraction form
    3,199.75/4,415.75 = 1,802.50/x
  3. Step 3: Cross multiply
    3,199.75x = 4,415.75 × 1,802.50
  4. Step 4: Simplify right side
    3,199.75x = 7,959,389.38
  5. Step 5: Solve for x
    x = 7,959,389.38/3,199.75
  6. Step 6: Final answer
    x = 2,487.50

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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.