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Finding the Fourth Proportional to 3,405.70, 5,097.48 and 2,919.16

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Solution

The fourth proportional to 3,405.70, 5,097.48 and 2,919.16 is: 4,369.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405.70 : 5,097.48 = 2,919.16 : x
  2. Step 2: Convert to fraction form
    3,405.70/5,097.48 = 2,919.16/x
  3. Step 3: Cross multiply
    3,405.70x = 5,097.48 × 2,919.16
  4. Step 4: Simplify right side
    3,405.70x = 14,880,359.72
  5. Step 5: Solve for x
    x = 14,880,359.72/3,405.70
  6. Step 6: Final answer
    x = 4,369.25

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Why These Related Problems?

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