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Finding the Fourth Proportional to 2,106.38, 2,906 and 1,319.06

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Solution

The fourth proportional to 2,106.38, 2,906 and 1,319.06 is: 1,819.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.38 : 2,906 = 1,319.06 : x
  2. Step 2: Convert to fraction form
    2,106.38/2,906 = 1,319.06/x
  3. Step 3: Cross multiply
    2,106.38x = 2,906 × 1,319.06
  4. Step 4: Simplify right side
    2,106.38x = 3,833,188.36
  5. Step 5: Solve for x
    x = 3,833,188.36/2,106.38
  6. Step 6: Final answer
    x = 1,819.80

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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.