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Finding the Fourth Proportional to 3,192.87, 4,783.08 and 1,802.00

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Solution

The fourth proportional to 3,192.87, 4,783.08 and 1,802.00 is: 2,699.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,192.87 : 4,783.08 = 1,802.00 : x
  2. Step 2: Convert to fraction form
    3,192.87/4,783.08 = 1,802.00/x
  3. Step 3: Cross multiply
    3,192.87x = 4,783.08 × 1,802.00
  4. Step 4: Simplify right side
    3,192.87x = 8,619,086.77
  5. Step 5: Solve for x
    x = 8,619,086.77/3,192.87
  6. Step 6: Final answer
    x = 2,699.48

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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.