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Finding the Fourth Proportional to 3,516, 5,270.55 and 1,956.75

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Solution

The fourth proportional to 3,516, 5,270.55 and 1,956.75 is: 2,933.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,516 : 5,270.55 = 1,956.75 : x
  2. Step 2: Convert to fraction form
    3,516/5,270.55 = 1,956.75/x
  3. Step 3: Cross multiply
    3,516x = 5,270.55 × 1,956.75
  4. Step 4: Simplify right side
    3,516x = 10,313,148.71
  5. Step 5: Solve for x
    x = 10,313,148.71/3,516
  6. Step 6: Final answer
    x = 2,933.20

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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.