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Finding the Fourth Proportional to 3,470.00, 4,788.68 and 1,898.10

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Solution

The fourth proportional to 3,470.00, 4,788.68 and 1,898.10 is: 2,619.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.00 : 4,788.68 = 1,898.10 : x
  2. Step 2: Convert to fraction form
    3,470.00/4,788.68 = 1,898.10/x
  3. Step 3: Cross multiply
    3,470.00x = 4,788.68 × 1,898.10
  4. Step 4: Simplify right side
    3,470.00x = 9,089,384.02
  5. Step 5: Solve for x
    x = 9,089,384.02/3,470.00
  6. Step 6: Final answer
    x = 2,619.42

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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.