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Finding the Fourth Proportional to 2,388.95, 3,583.26 and 745.34

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Solution

The fourth proportional to 2,388.95, 3,583.26 and 745.34 is: 1,117.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,388.95 : 3,583.26 = 745.34 : x
  2. Step 2: Convert to fraction form
    2,388.95/3,583.26 = 745.34/x
  3. Step 3: Cross multiply
    2,388.95x = 3,583.26 × 745.34
  4. Step 4: Simplify right side
    2,388.95x = 2,670,747.01
  5. Step 5: Solve for x
    x = 2,670,747.01/2,388.95
  6. Step 6: Final answer
    x = 1,117.96

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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.