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Finding the Fourth Proportional to 1,948.77, 2,920.79 and 1,392.65

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Solution

The fourth proportional to 1,948.77, 2,920.79 and 1,392.65 is: 2,087.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948.77 : 2,920.79 = 1,392.65 : x
  2. Step 2: Convert to fraction form
    1,948.77/2,920.79 = 1,392.65/x
  3. Step 3: Cross multiply
    1,948.77x = 2,920.79 × 1,392.65
  4. Step 4: Simplify right side
    1,948.77x = 4,067,616.63
  5. Step 5: Solve for x
    x = 4,067,616.63/1,948.77
  6. Step 6: Final answer
    x = 2,087.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.