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Finding the Fourth Proportional to 13,915.72, 19,210.26 and 8,614

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Solution

The fourth proportional to 13,915.72, 19,210.26 and 8,614 is: 11,891.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,915.72 : 19,210.26 = 8,614 : x
  2. Step 2: Convert to fraction form
    13,915.72/19,210.26 = 8,614/x
  3. Step 3: Cross multiply
    13,915.72x = 19,210.26 × 8,614
  4. Step 4: Simplify right side
    13,915.72x = 165,477,179.64
  5. Step 5: Solve for x
    x = 165,477,179.64/13,915.72
  6. Step 6: Final answer
    x = 11,891.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.