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Finding the Fourth Proportional to 14,100.64, 19,414.60 and 11,971.72

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Solution

The fourth proportional to 14,100.64, 19,414.60 and 11,971.72 is: 16,483.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,100.64 : 19,414.60 = 11,971.72 : x
  2. Step 2: Convert to fraction form
    14,100.64/19,414.60 = 11,971.72/x
  3. Step 3: Cross multiply
    14,100.64x = 19,414.60 × 11,971.72
  4. Step 4: Simplify right side
    14,100.64x = 232,426,155.11
  5. Step 5: Solve for x
    x = 232,426,155.11/14,100.64
  6. Step 6: Final answer
    x = 16,483.38

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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.