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Finding the Fourth Proportional to 2,753.68, 3,798.48 and 1,809.64

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Solution

The fourth proportional to 2,753.68, 3,798.48 and 1,809.64 is: 2,496.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,753.68 : 3,798.48 = 1,809.64 : x
  2. Step 2: Convert to fraction form
    2,753.68/3,798.48 = 1,809.64/x
  3. Step 3: Cross multiply
    2,753.68x = 3,798.48 × 1,809.64
  4. Step 4: Simplify right side
    2,753.68x = 6,873,881.35
  5. Step 5: Solve for x
    x = 6,873,881.35/2,753.68
  6. Step 6: Final answer
    x = 2,496.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.