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Finding the Fourth Proportional to 1,586.60, 2,189.46 and 878.51

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Solution

The fourth proportional to 1,586.60, 2,189.46 and 878.51 is: 1,212.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.60 : 2,189.46 = 878.51 : x
  2. Step 2: Convert to fraction form
    1,586.60/2,189.46 = 878.51/x
  3. Step 3: Cross multiply
    1,586.60x = 2,189.46 × 878.51
  4. Step 4: Simplify right side
    1,586.60x = 1,923,451.56
  5. Step 5: Solve for x
    x = 1,923,451.56/1,586.60
  6. Step 6: Final answer
    x = 1,212.31

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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.