Home / 1,586.40-2,374.20-1,456.80

Finding the Fourth Proportional to 1,586.40, 2,374.20 and 1,456.80

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Solution

The fourth proportional to 1,586.40, 2,374.20 and 1,456.80 is: 2,180.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.40 : 2,374.20 = 1,456.80 : x
  2. Step 2: Convert to fraction form
    1,586.40/2,374.20 = 1,456.80/x
  3. Step 3: Cross multiply
    1,586.40x = 2,374.20 × 1,456.80
  4. Step 4: Simplify right side
    1,586.40x = 3,458,734.56
  5. Step 5: Solve for x
    x = 3,458,734.56/1,586.40
  6. Step 6: Final answer
    x = 2,180.24

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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.