Home / 1,634.10-2,255.34-971.34

Finding the Fourth Proportional to 1,634.10, 2,255.34 and 971.34

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Solution

The fourth proportional to 1,634.10, 2,255.34 and 971.34 is: 1,340.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634.10 : 2,255.34 = 971.34 : x
  2. Step 2: Convert to fraction form
    1,634.10/2,255.34 = 971.34/x
  3. Step 3: Cross multiply
    1,634.10x = 2,255.34 × 971.34
  4. Step 4: Simplify right side
    1,634.10x = 2,190,695.55
  5. Step 5: Solve for x
    x = 2,190,695.55/1,634.10
  6. Step 6: Final answer
    x = 1,340.61

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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.