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Finding the Fourth Proportional to 2,368.85, 3,268.85 and 1,306.55

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Solution

The fourth proportional to 2,368.85, 3,268.85 and 1,306.55 is: 1,802.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,368.85 : 3,268.85 = 1,306.55 : x
  2. Step 2: Convert to fraction form
    2,368.85/3,268.85 = 1,306.55/x
  3. Step 3: Cross multiply
    2,368.85x = 3,268.85 × 1,306.55
  4. Step 4: Simplify right side
    2,368.85x = 4,270,893.09
  5. Step 5: Solve for x
    x = 4,270,893.09/2,368.85
  6. Step 6: Final answer
    x = 1,802.94

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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.