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Finding the Fourth Proportional to 3,476.69, 4,797.80 and 1,883.31

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Solution

The fourth proportional to 3,476.69, 4,797.80 and 1,883.31 is: 2,598.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,476.69 : 4,797.80 = 1,883.31 : x
  2. Step 2: Convert to fraction form
    3,476.69/4,797.80 = 1,883.31/x
  3. Step 3: Cross multiply
    3,476.69x = 4,797.80 × 1,883.31
  4. Step 4: Simplify right side
    3,476.69x = 9,035,751.36
  5. Step 5: Solve for x
    x = 9,035,751.36/3,476.69
  6. Step 6: Final answer
    x = 2,598.95

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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.