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Finding the Fourth Proportional to 2,704.60, 4,059.30 and 2,315.80

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Solution

The fourth proportional to 2,704.60, 4,059.30 and 2,315.80 is: 3,475.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704.60 : 4,059.30 = 2,315.80 : x
  2. Step 2: Convert to fraction form
    2,704.60/4,059.30 = 2,315.80/x
  3. Step 3: Cross multiply
    2,704.60x = 4,059.30 × 2,315.80
  4. Step 4: Simplify right side
    2,704.60x = 9,400,526.94
  5. Step 5: Solve for x
    x = 9,400,526.94/2,704.60
  6. Step 6: Final answer
    x = 3,475.75

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1.5x scale

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.