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Finding the Fourth Proportional to 1,789.75, 2,470.53 and 1,168.75

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Solution

The fourth proportional to 1,789.75, 2,470.53 and 1,168.75 is: 1,613.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,789.75 : 2,470.53 = 1,168.75 : x
  2. Step 2: Convert to fraction form
    1,789.75/2,470.53 = 1,168.75/x
  3. Step 3: Cross multiply
    1,789.75x = 2,470.53 × 1,168.75
  4. Step 4: Simplify right side
    1,789.75x = 2,887,431.94
  5. Step 5: Solve for x
    x = 2,887,431.94/1,789.75
  6. Step 6: Final answer
    x = 1,613.32

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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.