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Finding the Fourth Proportional to 14,645.25, 21,969.09 and 4,257

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Solution

The fourth proportional to 14,645.25, 21,969.09 and 4,257 is: 6,385.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,645.25 : 21,969.09 = 4,257 : x
  2. Step 2: Convert to fraction form
    14,645.25/21,969.09 = 4,257/x
  3. Step 3: Cross multiply
    14,645.25x = 21,969.09 × 4,257
  4. Step 4: Simplify right side
    14,645.25x = 93,522,416.13
  5. Step 5: Solve for x
    x = 93,522,416.13/14,645.25
  6. Step 6: Final answer
    x = 6,385.85

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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.