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Finding the Fourth Proportional to 1,916.64, 2,853.18 and 1,827.18

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Solution

The fourth proportional to 1,916.64, 2,853.18 and 1,827.18 is: 2,720.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,916.64 : 2,853.18 = 1,827.18 : x
  2. Step 2: Convert to fraction form
    1,916.64/2,853.18 = 1,827.18/x
  3. Step 3: Cross multiply
    1,916.64x = 2,853.18 × 1,827.18
  4. Step 4: Simplify right side
    1,916.64x = 5,213,273.43
  5. Step 5: Solve for x
    x = 5,213,273.43/1,916.64
  6. Step 6: Final answer
    x = 2,720.01

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.