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Finding the Fourth Proportional to 2,916.10, 4,374.10 and 724.84

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Solution

The fourth proportional to 2,916.10, 4,374.10 and 724.84 is: 1,087.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,916.10 : 4,374.10 = 724.84 : x
  2. Step 2: Convert to fraction form
    2,916.10/4,374.10 = 724.84/x
  3. Step 3: Cross multiply
    2,916.10x = 4,374.10 × 724.84
  4. Step 4: Simplify right side
    2,916.10x = 3,170,522.64
  5. Step 5: Solve for x
    x = 3,170,522.64/2,916.10
  6. Step 6: Final answer
    x = 1,087.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.