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Finding the Fourth Proportional to 1,878.31, 2,815.95 and 783.49

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Solution

The fourth proportional to 1,878.31, 2,815.95 and 783.49 is: 1,174.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,878.31 : 2,815.95 = 783.49 : x
  2. Step 2: Convert to fraction form
    1,878.31/2,815.95 = 783.49/x
  3. Step 3: Cross multiply
    1,878.31x = 2,815.95 × 783.49
  4. Step 4: Simplify right side
    1,878.31x = 2,206,268.67
  5. Step 5: Solve for x
    x = 2,206,268.67/1,878.31
  6. Step 6: Final answer
    x = 1,174.60

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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.