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Finding the Fourth Proportional to 2,000.70, 2,996.40 and 1,931.50

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Solution

The fourth proportional to 2,000.70, 2,996.40 and 1,931.50 is: 2,892.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.70 : 2,996.40 = 1,931.50 : x
  2. Step 2: Convert to fraction form
    2,000.70/2,996.40 = 1,931.50/x
  3. Step 3: Cross multiply
    2,000.70x = 2,996.40 × 1,931.50
  4. Step 4: Simplify right side
    2,000.70x = 5,787,546.60
  5. Step 5: Solve for x
    x = 5,787,546.60/2,000.70
  6. Step 6: Final answer
    x = 2,892.76

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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.