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Finding the Fourth Proportional to 2,893.87, 4,341.07 and 813.87

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Solution

The fourth proportional to 2,893.87, 4,341.07 and 813.87 is: 1,220.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,893.87 : 4,341.07 = 813.87 : x
  2. Step 2: Convert to fraction form
    2,893.87/4,341.07 = 813.87/x
  3. Step 3: Cross multiply
    2,893.87x = 4,341.07 × 813.87
  4. Step 4: Simplify right side
    2,893.87x = 3,533,044.94
  5. Step 5: Solve for x
    x = 3,533,044.94/2,893.87
  6. Step 6: Final answer
    x = 1,220.87

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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.