Home / 1,634.71-2,256.23-971.43

Finding the Fourth Proportional to 1,634.71, 2,256.23 and 971.43

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Solution

The fourth proportional to 1,634.71, 2,256.23 and 971.43 is: 1,340.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634.71 : 2,256.23 = 971.43 : x
  2. Step 2: Convert to fraction form
    1,634.71/2,256.23 = 971.43/x
  3. Step 3: Cross multiply
    1,634.71x = 2,256.23 × 971.43
  4. Step 4: Simplify right side
    1,634.71x = 2,191,764.65
  5. Step 5: Solve for x
    x = 2,191,764.65/1,634.71
  6. Step 6: Final answer
    x = 1,340.77

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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.