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Finding the Fourth Proportional to 1,851.22, 2,778.23 and 878.00

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Solution

The fourth proportional to 1,851.22, 2,778.23 and 878.00 is: 1,317.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,851.22 : 2,778.23 = 878.00 : x
  2. Step 2: Convert to fraction form
    1,851.22/2,778.23 = 878.00/x
  3. Step 3: Cross multiply
    1,851.22x = 2,778.23 × 878.00
  4. Step 4: Simplify right side
    1,851.22x = 2,439,295.08
  5. Step 5: Solve for x
    x = 2,439,295.08/1,851.22
  6. Step 6: Final answer
    x = 1,317.67

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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.