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Finding the Fourth Proportional to 20,953, 28,908.66 and 13,883.32

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Solution

The fourth proportional to 20,953, 28,908.66 and 13,883.32 is: 19,154.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,953 : 28,908.66 = 13,883.32 : x
  2. Step 2: Convert to fraction form
    20,953/28,908.66 = 13,883.32/x
  3. Step 3: Cross multiply
    20,953x = 28,908.66 × 13,883.32
  4. Step 4: Simplify right side
    20,953x = 401,348,177.55
  5. Step 5: Solve for x
    x = 401,348,177.55/20,953
  6. Step 6: Final answer
    x = 19,154.69

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Why These Related Problems?

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