Home / 1,486.40-2,051.24-823.29

Finding the Fourth Proportional to 1,486.40, 2,051.24 and 823.29

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Solution

The fourth proportional to 1,486.40, 2,051.24 and 823.29 is: 1,136.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.40 : 2,051.24 = 823.29 : x
  2. Step 2: Convert to fraction form
    1,486.40/2,051.24 = 823.29/x
  3. Step 3: Cross multiply
    1,486.40x = 2,051.24 × 823.29
  4. Step 4: Simplify right side
    1,486.40x = 1,688,761.26
  5. Step 5: Solve for x
    x = 1,688,761.26/1,486.40
  6. Step 6: Final answer
    x = 1,136.15

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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.