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Finding the Fourth Proportional to 1,974.83, 2,719.63 and 1,478.66

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Solution

The fourth proportional to 1,974.83, 2,719.63 and 1,478.66 is: 2,036.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974.83 : 2,719.63 = 1,478.66 : x
  2. Step 2: Convert to fraction form
    1,974.83/2,719.63 = 1,478.66/x
  3. Step 3: Cross multiply
    1,974.83x = 2,719.63 × 1,478.66
  4. Step 4: Simplify right side
    1,974.83x = 4,021,388.03
  5. Step 5: Solve for x
    x = 4,021,388.03/1,974.83
  6. Step 6: Final answer
    x = 2,036.32

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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.