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Finding the Fourth Proportional to 2,893.02, 4,339.19 and 813.18

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Solution

The fourth proportional to 2,893.02, 4,339.19 and 813.18 is: 1,219.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,893.02 : 4,339.19 = 813.18 : x
  2. Step 2: Convert to fraction form
    2,893.02/4,339.19 = 813.18/x
  3. Step 3: Cross multiply
    2,893.02x = 4,339.19 × 813.18
  4. Step 4: Simplify right side
    2,893.02x = 3,528,542.52
  5. Step 5: Solve for x
    x = 3,528,542.52/2,893.02
  6. Step 6: Final answer
    x = 1,219.67

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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.