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Finding the Fourth Proportional to 3,421, 5,131.74 and 1,369

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Solution

The fourth proportional to 3,421, 5,131.74 and 1,369 is: 2,053.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,421 : 5,131.74 = 1,369 : x
  2. Step 2: Convert to fraction form
    3,421/5,131.74 = 1,369/x
  3. Step 3: Cross multiply
    3,421x = 5,131.74 × 1,369
  4. Step 4: Simplify right side
    3,421x = 7,025,352.06
  5. Step 5: Solve for x
    x = 7,025,352.06/3,421
  6. Step 6: Final answer
    x = 2,053.60

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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.