Home / 1,398.06-1,927.26-1,159.11

Finding the Fourth Proportional to 1,398.06, 1,927.26 and 1,159.11

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Solution

The fourth proportional to 1,398.06, 1,927.26 and 1,159.11 is: 1,597.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.06 : 1,927.26 = 1,159.11 : x
  2. Step 2: Convert to fraction form
    1,398.06/1,927.26 = 1,159.11/x
  3. Step 3: Cross multiply
    1,398.06x = 1,927.26 × 1,159.11
  4. Step 4: Simplify right side
    1,398.06x = 2,233,906.34
  5. Step 5: Solve for x
    x = 2,233,906.34/1,398.06
  6. Step 6: Final answer
    x = 1,597.86

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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.