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Finding the Fourth Proportional to 2,846.47, 4,270.31 and 997.70

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Solution

The fourth proportional to 2,846.47, 4,270.31 and 997.70 is: 1,496.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846.47 : 4,270.31 = 997.70 : x
  2. Step 2: Convert to fraction form
    2,846.47/4,270.31 = 997.70/x
  3. Step 3: Cross multiply
    2,846.47x = 4,270.31 × 997.70
  4. Step 4: Simplify right side
    2,846.47x = 4,260,465.69
  5. Step 5: Solve for x
    x = 4,260,465.69/2,846.47
  6. Step 6: Final answer
    x = 1,496.76

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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.