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Finding the Fourth Proportional to 2,430.83, 3,645.48 and 786.98

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Solution

The fourth proportional to 2,430.83, 3,645.48 and 786.98 is: 1,180.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430.83 : 3,645.48 = 786.98 : x
  2. Step 2: Convert to fraction form
    2,430.83/3,645.48 = 786.98/x
  3. Step 3: Cross multiply
    2,430.83x = 3,645.48 × 786.98
  4. Step 4: Simplify right side
    2,430.83x = 2,868,919.85
  5. Step 5: Solve for x
    x = 2,868,919.85/2,430.83
  6. Step 6: Final answer
    x = 1,180.22

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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.