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Finding the Fourth Proportional to 13,970, 19,274.28 and 9,256.88

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Solution

The fourth proportional to 13,970, 19,274.28 and 9,256.88 is: 12,771.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,970 : 19,274.28 = 9,256.88 : x
  2. Step 2: Convert to fraction form
    13,970/19,274.28 = 9,256.88/x
  3. Step 3: Cross multiply
    13,970x = 19,274.28 × 9,256.88
  4. Step 4: Simplify right side
    13,970x = 178,419,697.05
  5. Step 5: Solve for x
    x = 178,419,697.05/13,970
  6. Step 6: Final answer
    x = 12,771.63

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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.