Home / 1,141.04-1,709.26-1,082

Finding the Fourth Proportional to 1,141.04, 1,709.26 and 1,082

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Solution

The fourth proportional to 1,141.04, 1,709.26 and 1,082 is: 1,620.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.04 : 1,709.26 = 1,082 : x
  2. Step 2: Convert to fraction form
    1,141.04/1,709.26 = 1,082/x
  3. Step 3: Cross multiply
    1,141.04x = 1,709.26 × 1,082
  4. Step 4: Simplify right side
    1,141.04x = 1,849,419.32
  5. Step 5: Solve for x
    x = 1,849,419.32/1,141.04
  6. Step 6: Final answer
    x = 1,620.82

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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.