Home / 1,486.32-2,051.06-823.13

Finding the Fourth Proportional to 1,486.32, 2,051.06 and 823.13

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Solution

The fourth proportional to 1,486.32, 2,051.06 and 823.13 is: 1,135.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.32 : 2,051.06 = 823.13 : x
  2. Step 2: Convert to fraction form
    1,486.32/2,051.06 = 823.13/x
  3. Step 3: Cross multiply
    1,486.32x = 2,051.06 × 823.13
  4. Step 4: Simplify right side
    1,486.32x = 1,688,282.34
  5. Step 5: Solve for x
    x = 1,688,282.34/1,486.32
  6. Step 6: Final answer
    x = 1,135.88

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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.