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Finding the Fourth Proportional to 3,296, 4,548.48 and 1,898.84

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Solution

The fourth proportional to 3,296, 4,548.48 and 1,898.84 is: 2,620.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,296 : 4,548.48 = 1,898.84 : x
  2. Step 2: Convert to fraction form
    3,296/4,548.48 = 1,898.84/x
  3. Step 3: Cross multiply
    3,296x = 4,548.48 × 1,898.84
  4. Step 4: Simplify right side
    3,296x = 8,636,835.76
  5. Step 5: Solve for x
    x = 8,636,835.76/3,296
  6. Step 6: Final answer
    x = 2,620.40

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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.