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Finding the Fourth Proportional to 2,374.80, 3,277.16 and 1,326.80

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Solution

The fourth proportional to 2,374.80, 3,277.16 and 1,326.80 is: 1,830.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,374.80 : 3,277.16 = 1,326.80 : x
  2. Step 2: Convert to fraction form
    2,374.80/3,277.16 = 1,326.80/x
  3. Step 3: Cross multiply
    2,374.80x = 3,277.16 × 1,326.80
  4. Step 4: Simplify right side
    2,374.80x = 4,348,135.89
  5. Step 5: Solve for x
    x = 4,348,135.89/2,374.80
  6. Step 6: Final answer
    x = 1,830.95

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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.