Home / 1,486.49-2,051.28-823.32

Finding the Fourth Proportional to 1,486.49, 2,051.28 and 823.32

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Solution

The fourth proportional to 1,486.49, 2,051.28 and 823.32 is: 1,136.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.49 : 2,051.28 = 823.32 : x
  2. Step 2: Convert to fraction form
    1,486.49/2,051.28 = 823.32/x
  3. Step 3: Cross multiply
    1,486.49x = 2,051.28 × 823.32
  4. Step 4: Simplify right side
    1,486.49x = 1,688,859.85
  5. Step 5: Solve for x
    x = 1,688,859.85/1,486.49
  6. Step 6: Final answer
    x = 1,136.14

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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.