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Finding the Fourth Proportional to 2,846.40, 4,262.40 and 2,270.40

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Solution

The fourth proportional to 2,846.40, 4,262.40 and 2,270.40 is: 3,399.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846.40 : 4,262.40 = 2,270.40 : x
  2. Step 2: Convert to fraction form
    2,846.40/4,262.40 = 2,270.40/x
  3. Step 3: Cross multiply
    2,846.40x = 4,262.40 × 2,270.40
  4. Step 4: Simplify right side
    2,846.40x = 9,677,352.96
  5. Step 5: Solve for x
    x = 9,677,352.96/2,846.40
  6. Step 6: Final answer
    x = 3,399.86

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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.