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Finding the Fourth Proportional to 1,830, 2,745 and 856.79

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Solution

The fourth proportional to 1,830, 2,745 and 856.79 is: 1,285.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830 : 2,745 = 856.79 : x
  2. Step 2: Convert to fraction form
    1,830/2,745 = 856.79/x
  3. Step 3: Cross multiply
    1,830x = 2,745 × 856.79
  4. Step 4: Simplify right side
    1,830x = 2,351,874.83
  5. Step 5: Solve for x
    x = 2,351,874.83/1,830
  6. Step 6: Final answer
    x = 1,285.18

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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.