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Finding the Fourth Proportional to 13,985.35, 20,978.03 and 11,514.98

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Solution

The fourth proportional to 13,985.35, 20,978.03 and 11,514.98 is: 17,272.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,985.35 : 20,978.03 = 11,514.98 : x
  2. Step 2: Convert to fraction form
    13,985.35/20,978.03 = 11,514.98/x
  3. Step 3: Cross multiply
    13,985.35x = 20,978.03 × 11,514.98
  4. Step 4: Simplify right side
    13,985.35x = 241,561,595.89
  5. Step 5: Solve for x
    x = 241,561,595.89/13,985.35
  6. Step 6: Final answer
    x = 17,272.47

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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.