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Finding the Fourth Proportional to 2,405, 3,608.94 and 1,037

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Solution

The fourth proportional to 2,405, 3,608.94 and 1,037 is: 1,556.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,405 : 3,608.94 = 1,037 : x
  2. Step 2: Convert to fraction form
    2,405/3,608.94 = 1,037/x
  3. Step 3: Cross multiply
    2,405x = 3,608.94 × 1,037
  4. Step 4: Simplify right side
    2,405x = 3,742,470.78
  5. Step 5: Solve for x
    x = 3,742,470.78/2,405
  6. Step 6: Final answer
    x = 1,556.12

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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.