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Finding the Fourth Proportional to 12,643.64, 18,971.86 and 8,531

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Solution

The fourth proportional to 12,643.64, 18,971.86 and 8,531 is: 12,800.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,643.64 : 18,971.86 = 8,531 : x
  2. Step 2: Convert to fraction form
    12,643.64/18,971.86 = 8,531/x
  3. Step 3: Cross multiply
    12,643.64x = 18,971.86 × 8,531
  4. Step 4: Simplify right side
    12,643.64x = 161,848,937.66
  5. Step 5: Solve for x
    x = 161,848,937.66/12,643.64
  6. Step 6: Final answer
    x = 12,800.82

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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.