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Finding the Fourth Proportional to 3,274.50, 4,518.81 and 1,802.50

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Solution

The fourth proportional to 3,274.50, 4,518.81 and 1,802.50 is: 2,487.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274.50 : 4,518.81 = 1,802.50 : x
  2. Step 2: Convert to fraction form
    3,274.50/4,518.81 = 1,802.50/x
  3. Step 3: Cross multiply
    3,274.50x = 4,518.81 × 1,802.50
  4. Step 4: Simplify right side
    3,274.50x = 8,145,155.03
  5. Step 5: Solve for x
    x = 8,145,155.03/3,274.50
  6. Step 6: Final answer
    x = 2,487.45

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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.