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Finding the Fourth Proportional to 8,430.50, 12,645.69 and 2,190.50

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Solution

The fourth proportional to 8,430.50, 12,645.69 and 2,190.50 is: 3,285.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,430.50 : 12,645.69 = 2,190.50 : x
  2. Step 2: Convert to fraction form
    8,430.50/12,645.69 = 2,190.50/x
  3. Step 3: Cross multiply
    8,430.50x = 12,645.69 × 2,190.50
  4. Step 4: Simplify right side
    8,430.50x = 27,700,383.95
  5. Step 5: Solve for x
    x = 27,700,383.95/8,430.50
  6. Step 6: Final answer
    x = 3,285.73

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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.