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Finding the Fourth Proportional to 2,923.67, 4,386.29 and 843.85

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Solution

The fourth proportional to 2,923.67, 4,386.29 and 843.85 is: 1,266.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,923.67 : 4,386.29 = 843.85 : x
  2. Step 2: Convert to fraction form
    2,923.67/4,386.29 = 843.85/x
  3. Step 3: Cross multiply
    2,923.67x = 4,386.29 × 843.85
  4. Step 4: Simplify right side
    2,923.67x = 3,701,372.08
  5. Step 5: Solve for x
    x = 3,701,372.08/2,923.67
  6. Step 6: Final answer
    x = 1,266.00

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1.5x scale

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.