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Finding the Fourth Proportional to 2,388.27, 3,582.65 and 744.38

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Solution

The fourth proportional to 2,388.27, 3,582.65 and 744.38 is: 1,116.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,388.27 : 3,582.65 = 744.38 : x
  2. Step 2: Convert to fraction form
    2,388.27/3,582.65 = 744.38/x
  3. Step 3: Cross multiply
    2,388.27x = 3,582.65 × 744.38
  4. Step 4: Simplify right side
    2,388.27x = 2,666,831.37
  5. Step 5: Solve for x
    x = 2,666,831.37/2,388.27
  6. Step 6: Final answer
    x = 1,116.64

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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.