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Finding the Fourth Proportional to 20,335, 28,062.29 and 11,382.50

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Solution

The fourth proportional to 20,335, 28,062.29 and 11,382.50 is: 15,707.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,335 : 28,062.29 = 11,382.50 : x
  2. Step 2: Convert to fraction form
    20,335/28,062.29 = 11,382.50/x
  3. Step 3: Cross multiply
    20,335x = 28,062.29 × 11,382.50
  4. Step 4: Simplify right side
    20,335x = 319,419,015.93
  5. Step 5: Solve for x
    x = 319,419,015.93/20,335
  6. Step 6: Final answer
    x = 15,707.84

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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.