Home / 1,486.37-2,051.15-823.20

Finding the Fourth Proportional to 1,486.37, 2,051.15 and 823.20

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Solution

The fourth proportional to 1,486.37, 2,051.15 and 823.20 is: 1,136.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.37 : 2,051.15 = 823.20 : x
  2. Step 2: Convert to fraction form
    1,486.37/2,051.15 = 823.20/x
  3. Step 3: Cross multiply
    1,486.37x = 2,051.15 × 823.20
  4. Step 4: Simplify right side
    1,486.37x = 1,688,506.68
  5. Step 5: Solve for x
    x = 1,688,506.68/1,486.37
  6. Step 6: Final answer
    x = 1,136.00

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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.