Home / 1,586.86-2,176.71-1,573.09

Finding the Fourth Proportional to 1,586.86, 2,176.71 and 1,573.09

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Solution

The fourth proportional to 1,586.86, 2,176.71 and 1,573.09 is: 2,157.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.86 : 2,176.71 = 1,573.09 : x
  2. Step 2: Convert to fraction form
    1,586.86/2,176.71 = 1,573.09/x
  3. Step 3: Cross multiply
    1,586.86x = 2,176.71 × 1,573.09
  4. Step 4: Simplify right side
    1,586.86x = 3,424,149.39
  5. Step 5: Solve for x
    x = 3,424,149.39/1,586.86
  6. Step 6: Final answer
    x = 2,157.82

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.