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Finding the Fourth Proportional to 1,945, 2,904.53 and 1,578.88

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Solution

The fourth proportional to 1,945, 2,904.53 and 1,578.88 is: 2,357.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,945 : 2,904.53 = 1,578.88 : x
  2. Step 2: Convert to fraction form
    1,945/2,904.53 = 1,578.88/x
  3. Step 3: Cross multiply
    1,945x = 2,904.53 × 1,578.88
  4. Step 4: Simplify right side
    1,945x = 4,585,904.33
  5. Step 5: Solve for x
    x = 4,585,904.33/1,945
  6. Step 6: Final answer
    x = 2,357.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.