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Finding the Fourth Proportional to 2,000.96, 2,986.96 and 1,728.80

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Solution

The fourth proportional to 2,000.96, 2,986.96 and 1,728.80 is: 2,580.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.96 : 2,986.96 = 1,728.80 : x
  2. Step 2: Convert to fraction form
    2,000.96/2,986.96 = 1,728.80/x
  3. Step 3: Cross multiply
    2,000.96x = 2,986.96 × 1,728.80
  4. Step 4: Simplify right side
    2,000.96x = 5,163,856.45
  5. Step 5: Solve for x
    x = 5,163,856.45/2,000.96
  6. Step 6: Final answer
    x = 2,580.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.