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Finding the Fourth Proportional to 1,932.65, 2,910.31 and 1,388.63

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Solution

The fourth proportional to 1,932.65, 2,910.31 and 1,388.63 is: 2,091.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,932.65 : 2,910.31 = 1,388.63 : x
  2. Step 2: Convert to fraction form
    1,932.65/2,910.31 = 1,388.63/x
  3. Step 3: Cross multiply
    1,932.65x = 2,910.31 × 1,388.63
  4. Step 4: Simplify right side
    1,932.65x = 4,041,347.58
  5. Step 5: Solve for x
    x = 4,041,347.58/1,932.65
  6. Step 6: Final answer
    x = 2,091.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.