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Finding the Fourth Proportional to 2,123.83, 2,928.83 and 1,650.89

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Solution

The fourth proportional to 2,123.83, 2,928.83 and 1,650.89 is: 2,276.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.83 : 2,928.83 = 1,650.89 : x
  2. Step 2: Convert to fraction form
    2,123.83/2,928.83 = 1,650.89/x
  3. Step 3: Cross multiply
    2,123.83x = 2,928.83 × 1,650.89
  4. Step 4: Simplify right side
    2,123.83x = 4,835,175.23
  5. Step 5: Solve for x
    x = 4,835,175.23/2,123.83
  6. Step 6: Final answer
    x = 2,276.63

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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.