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Finding the Fourth Proportional to 2,752.83, 3,794.71 and 1,688.63

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Solution

The fourth proportional to 2,752.83, 3,794.71 and 1,688.63 is: 2,327.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,752.83 : 3,794.71 = 1,688.63 : x
  2. Step 2: Convert to fraction form
    2,752.83/3,794.71 = 1,688.63/x
  3. Step 3: Cross multiply
    2,752.83x = 3,794.71 × 1,688.63
  4. Step 4: Simplify right side
    2,752.83x = 6,407,837.95
  5. Step 5: Solve for x
    x = 6,407,837.95/2,752.83
  6. Step 6: Final answer
    x = 2,327.73

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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.