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Finding the Fourth Proportional to 14,692, 22,038 and 13,953.76

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Solution

The fourth proportional to 14,692, 22,038 and 13,953.76 is: 20,930.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,692 : 22,038 = 13,953.76 : x
  2. Step 2: Convert to fraction form
    14,692/22,038 = 13,953.76/x
  3. Step 3: Cross multiply
    14,692x = 22,038 × 13,953.76
  4. Step 4: Simplify right side
    14,692x = 307,512,962.88
  5. Step 5: Solve for x
    x = 307,512,962.88/14,692
  6. Step 6: Final answer
    x = 20,930.64

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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.