Home / 1,462.24-2,191.74-812.62

Finding the Fourth Proportional to 1,462.24, 2,191.74 and 812.62

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Solution

The fourth proportional to 1,462.24, 2,191.74 and 812.62 is: 1,218.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.24 : 2,191.74 = 812.62 : x
  2. Step 2: Convert to fraction form
    1,462.24/2,191.74 = 812.62/x
  3. Step 3: Cross multiply
    1,462.24x = 2,191.74 × 812.62
  4. Step 4: Simplify right side
    1,462.24x = 1,781,051.76
  5. Step 5: Solve for x
    x = 1,781,051.76/1,462.24
  6. Step 6: Final answer
    x = 1,218.03

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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.