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Finding the Fourth Proportional to 3,339.74, 4,609.50 and 1,942.76

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Solution

The fourth proportional to 3,339.74, 4,609.50 and 1,942.76 is: 2,681.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,339.74 : 4,609.50 = 1,942.76 : x
  2. Step 2: Convert to fraction form
    3,339.74/4,609.50 = 1,942.76/x
  3. Step 3: Cross multiply
    3,339.74x = 4,609.50 × 1,942.76
  4. Step 4: Simplify right side
    3,339.74x = 8,955,152.22
  5. Step 5: Solve for x
    x = 8,955,152.22/3,339.74
  6. Step 6: Final answer
    x = 2,681.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.