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Finding the Fourth Proportional to 2,810.03, 4,215.05 and 862.23

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Solution

The fourth proportional to 2,810.03, 4,215.05 and 862.23 is: 1,293.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,810.03 : 4,215.05 = 862.23 : x
  2. Step 2: Convert to fraction form
    2,810.03/4,215.05 = 862.23/x
  3. Step 3: Cross multiply
    2,810.03x = 4,215.05 × 862.23
  4. Step 4: Simplify right side
    2,810.03x = 3,634,338.25
  5. Step 5: Solve for x
    x = 3,634,338.25/2,810.03
  6. Step 6: Final answer
    x = 1,293.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.