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Finding the Fourth Proportional to 2,430.24, 3,644.44 and 786.34

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Solution

The fourth proportional to 2,430.24, 3,644.44 and 786.34 is: 1,179.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430.24 : 3,644.44 = 786.34 : x
  2. Step 2: Convert to fraction form
    2,430.24/3,644.44 = 786.34/x
  3. Step 3: Cross multiply
    2,430.24x = 3,644.44 × 786.34
  4. Step 4: Simplify right side
    2,430.24x = 2,865,771.54
  5. Step 5: Solve for x
    x = 2,865,771.54/2,430.24
  6. Step 6: Final answer
    x = 1,179.22

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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.