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Finding the Fourth Proportional to 2,368.77, 3,268.76 and 1,306.50

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Solution

The fourth proportional to 2,368.77, 3,268.76 and 1,306.50 is: 1,802.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,368.77 : 3,268.76 = 1,306.50 : x
  2. Step 2: Convert to fraction form
    2,368.77/3,268.76 = 1,306.50/x
  3. Step 3: Cross multiply
    2,368.77x = 3,268.76 × 1,306.50
  4. Step 4: Simplify right side
    2,368.77x = 4,270,634.94
  5. Step 5: Solve for x
    x = 4,270,634.94/2,368.77
  6. Step 6: Final answer
    x = 1,802.89

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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.