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Finding the Fourth Proportional to 2,389.16, 3,582.39 and 745.22

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Solution

The fourth proportional to 2,389.16, 3,582.39 and 745.22 is: 1,117.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,389.16 : 3,582.39 = 745.22 : x
  2. Step 2: Convert to fraction form
    2,389.16/3,582.39 = 745.22/x
  3. Step 3: Cross multiply
    2,389.16x = 3,582.39 × 745.22
  4. Step 4: Simplify right side
    2,389.16x = 2,669,668.68
  5. Step 5: Solve for x
    x = 2,669,668.68/2,389.16
  6. Step 6: Final answer
    x = 1,117.41

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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.