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Finding the Fourth Proportional to 1,908.74, 2,647.02 and 1,848.80

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Solution

The fourth proportional to 1,908.74, 2,647.02 and 1,848.80 is: 2,563.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,908.74 : 2,647.02 = 1,848.80 : x
  2. Step 2: Convert to fraction form
    1,908.74/2,647.02 = 1,848.80/x
  3. Step 3: Cross multiply
    1,908.74x = 2,647.02 × 1,848.80
  4. Step 4: Simplify right side
    1,908.74x = 4,893,810.58
  5. Step 5: Solve for x
    x = 4,893,810.58/1,908.74
  6. Step 6: Final answer
    x = 2,563.90

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.