Home / 1,586.40-2,379.60-1,098.96

Finding the Fourth Proportional to 1,586.40, 2,379.60 and 1,098.96

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Solution

The fourth proportional to 1,586.40, 2,379.60 and 1,098.96 is: 1,648.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.40 : 2,379.60 = 1,098.96 : x
  2. Step 2: Convert to fraction form
    1,586.40/2,379.60 = 1,098.96/x
  3. Step 3: Cross multiply
    1,586.40x = 2,379.60 × 1,098.96
  4. Step 4: Simplify right side
    1,586.40x = 2,615,085.22
  5. Step 5: Solve for x
    x = 2,615,085.22/1,586.40
  6. Step 6: Final answer
    x = 1,648.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.