Home / 1,486.35-2,051.28-823.27

Finding the Fourth Proportional to 1,486.35, 2,051.28 and 823.27

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Solution

The fourth proportional to 1,486.35, 2,051.28 and 823.27 is: 1,136.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.35 : 2,051.28 = 823.27 : x
  2. Step 2: Convert to fraction form
    1,486.35/2,051.28 = 823.27/x
  3. Step 3: Cross multiply
    1,486.35x = 2,051.28 × 823.27
  4. Step 4: Simplify right side
    1,486.35x = 1,688,754.22
  5. Step 5: Solve for x
    x = 1,688,754.22/1,486.35
  6. Step 6: Final answer
    x = 1,136.17

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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.