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Finding the Fourth Proportional to 2,287.70, 3,428.85 and 971.05

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Solution

The fourth proportional to 2,287.70, 3,428.85 and 971.05 is: 1,455.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.70 : 3,428.85 = 971.05 : x
  2. Step 2: Convert to fraction form
    2,287.70/3,428.85 = 971.05/x
  3. Step 3: Cross multiply
    2,287.70x = 3,428.85 × 971.05
  4. Step 4: Simplify right side
    2,287.70x = 3,329,584.79
  5. Step 5: Solve for x
    x = 3,329,584.79/2,287.70
  6. Step 6: Final answer
    x = 1,455.43

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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.