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Finding the Fourth Proportional to 2,109.75, 3,164.63 and 570.75

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Solution

The fourth proportional to 2,109.75, 3,164.63 and 570.75 is: 856.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.75 : 3,164.63 = 570.75 : x
  2. Step 2: Convert to fraction form
    2,109.75/3,164.63 = 570.75/x
  3. Step 3: Cross multiply
    2,109.75x = 3,164.63 × 570.75
  4. Step 4: Simplify right side
    2,109.75x = 1,806,212.57
  5. Step 5: Solve for x
    x = 1,806,212.57/2,109.75
  6. Step 6: Final answer
    x = 856.13

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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.