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Finding the Fourth Proportional to 19,893.05, 29,821.04 and 13,656.00

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Solution

The fourth proportional to 19,893.05, 29,821.04 and 13,656.00 is: 20,471.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,893.05 : 29,821.04 = 13,656.00 : x
  2. Step 2: Convert to fraction form
    19,893.05/29,821.04 = 13,656.00/x
  3. Step 3: Cross multiply
    19,893.05x = 29,821.04 × 13,656.00
  4. Step 4: Simplify right side
    19,893.05x = 407,236,113.92
  5. Step 5: Solve for x
    x = 407,236,113.92/19,893.05
  6. Step 6: Final answer
    x = 20,471.27

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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.