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Finding the Fourth Proportional to 2,784.31, 3,840.49 and 1,790.84

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Solution

The fourth proportional to 2,784.31, 3,840.49 and 1,790.84 is: 2,470.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.31 : 3,840.49 = 1,790.84 : x
  2. Step 2: Convert to fraction form
    2,784.31/3,840.49 = 1,790.84/x
  3. Step 3: Cross multiply
    2,784.31x = 3,840.49 × 1,790.84
  4. Step 4: Simplify right side
    2,784.31x = 6,877,703.11
  5. Step 5: Solve for x
    x = 6,877,703.11/2,784.31
  6. Step 6: Final answer
    x = 2,470.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.