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Finding the Fourth Proportional to 2,430.14, 3,644.42 and 786.33

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Solution

The fourth proportional to 2,430.14, 3,644.42 and 786.33 is: 1,179.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430.14 : 3,644.42 = 786.33 : x
  2. Step 2: Convert to fraction form
    2,430.14/3,644.42 = 786.33/x
  3. Step 3: Cross multiply
    2,430.14x = 3,644.42 × 786.33
  4. Step 4: Simplify right side
    2,430.14x = 2,865,712.85
  5. Step 5: Solve for x
    x = 2,865,712.85/2,430.14
  6. Step 6: Final answer
    x = 1,179.24

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1.5x scale

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.