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Finding the Fourth Proportional to 1,789.50, 2,469.53 and 992.84

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Solution

The fourth proportional to 1,789.50, 2,469.53 and 992.84 is: 1,370.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,789.50 : 2,469.53 = 992.84 : x
  2. Step 2: Convert to fraction form
    1,789.50/2,469.53 = 992.84/x
  3. Step 3: Cross multiply
    1,789.50x = 2,469.53 × 992.84
  4. Step 4: Simplify right side
    1,789.50x = 2,451,840.11
  5. Step 5: Solve for x
    x = 2,451,840.11/1,789.50
  6. Step 6: Final answer
    x = 1,370.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.