Home / 1,531.37-2,112.97-971.18

Finding the Fourth Proportional to 1,531.37, 2,112.97 and 971.18

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Solution

The fourth proportional to 1,531.37, 2,112.97 and 971.18 is: 1,340.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.37 : 2,112.97 = 971.18 : x
  2. Step 2: Convert to fraction form
    1,531.37/2,112.97 = 971.18/x
  3. Step 3: Cross multiply
    1,531.37x = 2,112.97 × 971.18
  4. Step 4: Simplify right side
    1,531.37x = 2,052,074.20
  5. Step 5: Solve for x
    x = 2,052,074.20/1,531.37
  6. Step 6: Final answer
    x = 1,340.03

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1.5x scale

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.