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Finding the Fourth Proportional to 2,813.00, 4,220.06 and 865.13

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Solution

The fourth proportional to 2,813.00, 4,220.06 and 865.13 is: 1,297.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813.00 : 4,220.06 = 865.13 : x
  2. Step 2: Convert to fraction form
    2,813.00/4,220.06 = 865.13/x
  3. Step 3: Cross multiply
    2,813.00x = 4,220.06 × 865.13
  4. Step 4: Simplify right side
    2,813.00x = 3,650,875.08
  5. Step 5: Solve for x
    x = 3,650,875.08/2,813.00
  6. Step 6: Final answer
    x = 1,297.86

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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.