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Finding the Fourth Proportional to 13,985.67, 20,978 and 6,598.27

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Solution

The fourth proportional to 13,985.67, 20,978 and 6,598.27 is: 9,897.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,985.67 : 20,978 = 6,598.27 : x
  2. Step 2: Convert to fraction form
    13,985.67/20,978 = 6,598.27/x
  3. Step 3: Cross multiply
    13,985.67x = 20,978 × 6,598.27
  4. Step 4: Simplify right side
    13,985.67x = 138,418,508.06
  5. Step 5: Solve for x
    x = 138,418,508.06/13,985.67
  6. Step 6: Final answer
    x = 9,897.17

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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.