Home / 1,486.40-2,051.21-823.25

Finding the Fourth Proportional to 1,486.40, 2,051.21 and 823.25

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Solution

The fourth proportional to 1,486.40, 2,051.21 and 823.25 is: 1,136.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.40 : 2,051.21 = 823.25 : x
  2. Step 2: Convert to fraction form
    1,486.40/2,051.21 = 823.25/x
  3. Step 3: Cross multiply
    1,486.40x = 2,051.21 × 823.25
  4. Step 4: Simplify right side
    1,486.40x = 1,688,644.26
  5. Step 5: Solve for x
    x = 1,688,644.26/1,486.40
  6. Step 6: Final answer
    x = 1,136.07

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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.