Home / 1,189.31-1,642.16-926.87

Finding the Fourth Proportional to 1,189.31, 1,642.16 and 926.87

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Solution

The fourth proportional to 1,189.31, 1,642.16 and 926.87 is: 1,279.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.31 : 1,642.16 = 926.87 : x
  2. Step 2: Convert to fraction form
    1,189.31/1,642.16 = 926.87/x
  3. Step 3: Cross multiply
    1,189.31x = 1,642.16 × 926.87
  4. Step 4: Simplify right side
    1,189.31x = 1,522,068.84
  5. Step 5: Solve for x
    x = 1,522,068.84/1,189.31
  6. Step 6: Final answer
    x = 1,279.79

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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.