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Finding the Fourth Proportional to 8,430, 12,645.74 and 2,883.64

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Solution

The fourth proportional to 8,430, 12,645.74 and 2,883.64 is: 4,325.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,430 : 12,645.74 = 2,883.64 : x
  2. Step 2: Convert to fraction form
    8,430/12,645.74 = 2,883.64/x
  3. Step 3: Cross multiply
    8,430x = 12,645.74 × 2,883.64
  4. Step 4: Simplify right side
    8,430x = 36,465,761.69
  5. Step 5: Solve for x
    x = 36,465,761.69/8,430
  6. Step 6: Final answer
    x = 4,325.71

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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.