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Finding the Fourth Proportional to 1,927.84, 2,646.48 and 1,879.52

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Solution

The fourth proportional to 1,927.84, 2,646.48 and 1,879.52 is: 2,580.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,927.84 : 2,646.48 = 1,879.52 : x
  2. Step 2: Convert to fraction form
    1,927.84/2,646.48 = 1,879.52/x
  3. Step 3: Cross multiply
    1,927.84x = 2,646.48 × 1,879.52
  4. Step 4: Simplify right side
    1,927.84x = 4,974,112.09
  5. Step 5: Solve for x
    x = 4,974,112.09/1,927.84
  6. Step 6: Final answer
    x = 2,580.15

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.