Home / 1,431.75-1,971.06-1,284.13

Finding the Fourth Proportional to 1,431.75, 1,971.06 and 1,284.13

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Solution

The fourth proportional to 1,431.75, 1,971.06 and 1,284.13 is: 1,767.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.75 : 1,971.06 = 1,284.13 : x
  2. Step 2: Convert to fraction form
    1,431.75/1,971.06 = 1,284.13/x
  3. Step 3: Cross multiply
    1,431.75x = 1,971.06 × 1,284.13
  4. Step 4: Simplify right side
    1,431.75x = 2,531,097.28
  5. Step 5: Solve for x
    x = 2,531,097.28/1,431.75
  6. Step 6: Final answer
    x = 1,767.83

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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.