Home / 1,634.52-2,254.80-971.28

Finding the Fourth Proportional to 1,634.52, 2,254.80 and 971.28

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Solution

The fourth proportional to 1,634.52, 2,254.80 and 971.28 is: 1,339.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634.52 : 2,254.80 = 971.28 : x
  2. Step 2: Convert to fraction form
    1,634.52/2,254.80 = 971.28/x
  3. Step 3: Cross multiply
    1,634.52x = 2,254.80 × 971.28
  4. Step 4: Simplify right side
    1,634.52x = 2,190,042.14
  5. Step 5: Solve for x
    x = 2,190,042.14/1,634.52
  6. Step 6: Final answer
    x = 1,339.87

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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.