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Finding the Fourth Proportional to 8,645.94, 12,966.21 and 2,801.34

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Solution

The fourth proportional to 8,645.94, 12,966.21 and 2,801.34 is: 4,201.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,645.94 : 12,966.21 = 2,801.34 : x
  2. Step 2: Convert to fraction form
    8,645.94/12,966.21 = 2,801.34/x
  3. Step 3: Cross multiply
    8,645.94x = 12,966.21 × 2,801.34
  4. Step 4: Simplify right side
    8,645.94x = 36,322,762.72
  5. Step 5: Solve for x
    x = 36,322,762.72/8,645.94
  6. Step 6: Final answer
    x = 4,201.14

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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.