Home / 1,486.35-2,051.06-823.26

Finding the Fourth Proportional to 1,486.35, 2,051.06 and 823.26

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Solution

The fourth proportional to 1,486.35, 2,051.06 and 823.26 is: 1,136.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.35 : 2,051.06 = 823.26 : x
  2. Step 2: Convert to fraction form
    1,486.35/2,051.06 = 823.26/x
  3. Step 3: Cross multiply
    1,486.35x = 2,051.06 × 823.26
  4. Step 4: Simplify right side
    1,486.35x = 1,688,551.54
  5. Step 5: Solve for x
    x = 1,688,551.54/1,486.35
  6. Step 6: Final answer
    x = 1,136.04

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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.