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Finding the Fourth Proportional to 1,930, 2,895.90 and 834.66

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Solution

The fourth proportional to 1,930, 2,895.90 and 834.66 is: 1,252.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,930 : 2,895.90 = 834.66 : x
  2. Step 2: Convert to fraction form
    1,930/2,895.90 = 834.66/x
  3. Step 3: Cross multiply
    1,930x = 2,895.90 × 834.66
  4. Step 4: Simplify right side
    1,930x = 2,417,091.89
  5. Step 5: Solve for x
    x = 2,417,091.89/1,930
  6. Step 6: Final answer
    x = 1,252.38

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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.