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Finding the Fourth Proportional to 8,430, 12,643.98 and 2,883.24

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Solution

The fourth proportional to 8,430, 12,643.98 and 2,883.24 is: 4,324.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,430 : 12,643.98 = 2,883.24 : x
  2. Step 2: Convert to fraction form
    8,430/12,643.98 = 2,883.24/x
  3. Step 3: Cross multiply
    8,430x = 12,643.98 × 2,883.24
  4. Step 4: Simplify right side
    8,430x = 36,455,628.90
  5. Step 5: Solve for x
    x = 36,455,628.90/8,430
  6. Step 6: Final answer
    x = 4,324.51

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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.