Home / 1,402.12-2,102.70-786.04

Finding the Fourth Proportional to 1,402.12, 2,102.70 and 786.04

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Solution

The fourth proportional to 1,402.12, 2,102.70 and 786.04 is: 1,178.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.12 : 2,102.70 = 786.04 : x
  2. Step 2: Convert to fraction form
    1,402.12/2,102.70 = 786.04/x
  3. Step 3: Cross multiply
    1,402.12x = 2,102.70 × 786.04
  4. Step 4: Simplify right side
    1,402.12x = 1,652,806.31
  5. Step 5: Solve for x
    x = 1,652,806.31/1,402.12
  6. Step 6: Final answer
    x = 1,178.79

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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.