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Finding the Fourth Proportional to 1,878.75, 2,818.08 and 783.09

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Solution

The fourth proportional to 1,878.75, 2,818.08 and 783.09 is: 1,174.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,878.75 : 2,818.08 = 783.09 : x
  2. Step 2: Convert to fraction form
    1,878.75/2,818.08 = 783.09/x
  3. Step 3: Cross multiply
    1,878.75x = 2,818.08 × 783.09
  4. Step 4: Simplify right side
    1,878.75x = 2,206,810.27
  5. Step 5: Solve for x
    x = 2,206,810.27/1,878.75
  6. Step 6: Final answer
    x = 1,174.62

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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.