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Finding the Fourth Proportional to 2,388.77, 3,583.11 and 745.31

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Solution

The fourth proportional to 2,388.77, 3,583.11 and 745.31 is: 1,117.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,388.77 : 3,583.11 = 745.31 : x
  2. Step 2: Convert to fraction form
    2,388.77/3,583.11 = 745.31/x
  3. Step 3: Cross multiply
    2,388.77x = 3,583.11 × 745.31
  4. Step 4: Simplify right side
    2,388.77x = 2,670,527.71
  5. Step 5: Solve for x
    x = 2,670,527.71/2,388.77
  6. Step 6: Final answer
    x = 1,117.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.