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Finding the Fourth Proportional to 3,223.79, 4,837.61 and 1,275.94

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Solution

The fourth proportional to 3,223.79, 4,837.61 and 1,275.94 is: 1,914.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,223.79 : 4,837.61 = 1,275.94 : x
  2. Step 2: Convert to fraction form
    3,223.79/4,837.61 = 1,275.94/x
  3. Step 3: Cross multiply
    3,223.79x = 4,837.61 × 1,275.94
  4. Step 4: Simplify right side
    3,223.79x = 6,172,500.10
  5. Step 5: Solve for x
    x = 6,172,500.10/3,223.79
  6. Step 6: Final answer
    x = 1,914.67

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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.