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Finding the Fourth Proportional to 2,826.26, 4,239.66 and 877.94

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Solution

The fourth proportional to 2,826.26, 4,239.66 and 877.94 is: 1,316.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,826.26 : 4,239.66 = 877.94 : x
  2. Step 2: Convert to fraction form
    2,826.26/4,239.66 = 877.94/x
  3. Step 3: Cross multiply
    2,826.26x = 4,239.66 × 877.94
  4. Step 4: Simplify right side
    2,826.26x = 3,722,167.10
  5. Step 5: Solve for x
    x = 3,722,167.10/2,826.26
  6. Step 6: Final answer
    x = 1,316.99

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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.