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Finding the Fourth Proportional to 2,783.71, 3,838.87 and 1,664.47

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Solution

The fourth proportional to 2,783.71, 3,838.87 and 1,664.47 is: 2,295.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.71 : 3,838.87 = 1,664.47 : x
  2. Step 2: Convert to fraction form
    2,783.71/3,838.87 = 1,664.47/x
  3. Step 3: Cross multiply
    2,783.71x = 3,838.87 × 1,664.47
  4. Step 4: Simplify right side
    2,783.71x = 6,389,690.83
  5. Step 5: Solve for x
    x = 6,389,690.83/2,783.71
  6. Step 6: Final answer
    x = 2,295.39

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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.