Home / 1,189.28-1,782.12-1,026.08

Finding the Fourth Proportional to 1,189.28, 1,782.12 and 1,026.08

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Solution

The fourth proportional to 1,189.28, 1,782.12 and 1,026.08 is: 1,537.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.28 : 1,782.12 = 1,026.08 : x
  2. Step 2: Convert to fraction form
    1,189.28/1,782.12 = 1,026.08/x
  3. Step 3: Cross multiply
    1,189.28x = 1,782.12 × 1,026.08
  4. Step 4: Simplify right side
    1,189.28x = 1,828,597.69
  5. Step 5: Solve for x
    x = 1,828,597.69/1,189.28
  6. Step 6: Final answer
    x = 1,537.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.