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Finding the Fourth Proportional to 20,972, 28,941.56 and 11,540.77

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Solution

The fourth proportional to 20,972, 28,941.56 and 11,540.77 is: 15,926.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,972 : 28,941.56 = 11,540.77 : x
  2. Step 2: Convert to fraction form
    20,972/28,941.56 = 11,540.77/x
  3. Step 3: Cross multiply
    20,972x = 28,941.56 × 11,540.77
  4. Step 4: Simplify right side
    20,972x = 334,007,887.40
  5. Step 5: Solve for x
    x = 334,007,887.40/20,972
  6. Step 6: Final answer
    x = 15,926.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.