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Finding the Fourth Proportional to 3,138.99, 4,709.34 and 1,291.41

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Solution

The fourth proportional to 3,138.99, 4,709.34 and 1,291.41 is: 1,937.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.99 : 4,709.34 = 1,291.41 : x
  2. Step 2: Convert to fraction form
    3,138.99/4,709.34 = 1,291.41/x
  3. Step 3: Cross multiply
    3,138.99x = 4,709.34 × 1,291.41
  4. Step 4: Simplify right side
    3,138.99x = 6,081,688.77
  5. Step 5: Solve for x
    x = 6,081,688.77/3,138.99
  6. Step 6: Final answer
    x = 1,937.47

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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.