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Finding the Fourth Proportional to 2,513, 3,467.94 and 1,409

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Solution

The fourth proportional to 2,513, 3,467.94 and 1,409 is: 1,944.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,513 : 3,467.94 = 1,409 : x
  2. Step 2: Convert to fraction form
    2,513/3,467.94 = 1,409/x
  3. Step 3: Cross multiply
    2,513x = 3,467.94 × 1,409
  4. Step 4: Simplify right side
    2,513x = 4,886,327.46
  5. Step 5: Solve for x
    x = 4,886,327.46/2,513
  6. Step 6: Final answer
    x = 1,944.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.