Home / 1,634.38-2,254.52-971.12

Finding the Fourth Proportional to 1,634.38, 2,254.52 and 971.12

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Solution

The fourth proportional to 1,634.38, 2,254.52 and 971.12 is: 1,339.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634.38 : 2,254.52 = 971.12 : x
  2. Step 2: Convert to fraction form
    1,634.38/2,254.52 = 971.12/x
  3. Step 3: Cross multiply
    1,634.38x = 2,254.52 × 971.12
  4. Step 4: Simplify right side
    1,634.38x = 2,189,409.46
  5. Step 5: Solve for x
    x = 2,189,409.46/1,634.38
  6. Step 6: Final answer
    x = 1,339.60

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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.