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Finding the Fourth Proportional to 2,388.98, 3,583.61 and 745.76

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Solution

The fourth proportional to 2,388.98, 3,583.61 and 745.76 is: 1,118.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,388.98 : 3,583.61 = 745.76 : x
  2. Step 2: Convert to fraction form
    2,388.98/3,583.61 = 745.76/x
  3. Step 3: Cross multiply
    2,388.98x = 3,583.61 × 745.76
  4. Step 4: Simplify right side
    2,388.98x = 2,672,512.99
  5. Step 5: Solve for x
    x = 2,672,512.99/2,388.98
  6. Step 6: Final answer
    x = 1,118.68

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1.5x scale

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.