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Finding the Fourth Proportional to 2,931.93, 4,046.00 and 1,638.27

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Solution

The fourth proportional to 2,931.93, 4,046.00 and 1,638.27 is: 2,260.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,931.93 : 4,046.00 = 1,638.27 : x
  2. Step 2: Convert to fraction form
    2,931.93/4,046.00 = 1,638.27/x
  3. Step 3: Cross multiply
    2,931.93x = 4,046.00 × 1,638.27
  4. Step 4: Simplify right side
    2,931.93x = 6,628,432.23
  5. Step 5: Solve for x
    x = 6,628,432.23/2,931.93
  6. Step 6: Final answer
    x = 2,260.77

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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.