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Finding the Fourth Proportional to 2,013.84, 2,777.70 and 1,640.82

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Solution

The fourth proportional to 2,013.84, 2,777.70 and 1,640.82 is: 2,263.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013.84 : 2,777.70 = 1,640.82 : x
  2. Step 2: Convert to fraction form
    2,013.84/2,777.70 = 1,640.82/x
  3. Step 3: Cross multiply
    2,013.84x = 2,777.70 × 1,640.82
  4. Step 4: Simplify right side
    2,013.84x = 4,557,705.71
  5. Step 5: Solve for x
    x = 4,557,705.71/2,013.84
  6. Step 6: Final answer
    x = 2,263.19

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