Home / 1,531.43-2,112.24-971.41

Finding the Fourth Proportional to 1,531.43, 2,112.24 and 971.41

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Solution

The fourth proportional to 1,531.43, 2,112.24 and 971.41 is: 1,339.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.43 : 2,112.24 = 971.41 : x
  2. Step 2: Convert to fraction form
    1,531.43/2,112.24 = 971.41/x
  3. Step 3: Cross multiply
    1,531.43x = 2,112.24 × 971.41
  4. Step 4: Simplify right side
    1,531.43x = 2,051,851.06
  5. Step 5: Solve for x
    x = 2,051,851.06/1,531.43
  6. Step 6: Final answer
    x = 1,339.83

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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.