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Finding the Fourth Proportional to 21,354.56, 31,985.04 and 17,614.64

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Solution

The fourth proportional to 21,354.56, 31,985.04 and 17,614.64 is: 26,383.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,354.56 : 31,985.04 = 17,614.64 : x
  2. Step 2: Convert to fraction form
    21,354.56/31,985.04 = 17,614.64/x
  3. Step 3: Cross multiply
    21,354.56x = 31,985.04 × 17,614.64
  4. Step 4: Simplify right side
    21,354.56x = 563,404,964.99
  5. Step 5: Solve for x
    x = 563,404,964.99/21,354.56
  6. Step 6: Final answer
    x = 26,383.36

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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.