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Finding the Fourth Proportional to 3,470, 4,788.62 and 1,898.09

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Solution

The fourth proportional to 3,470, 4,788.62 and 1,898.09 is: 2,619.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470 : 4,788.62 = 1,898.09 : x
  2. Step 2: Convert to fraction form
    3,470/4,788.62 = 1,898.09/x
  3. Step 3: Cross multiply
    3,470x = 4,788.62 × 1,898.09
  4. Step 4: Simplify right side
    3,470x = 9,089,231.74
  5. Step 5: Solve for x
    x = 9,089,231.74/3,470
  6. Step 6: Final answer
    x = 2,619.38

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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.