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Finding the Fourth Proportional to 20,715, 28,589.40 and 12,331.50

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Solution

The fourth proportional to 20,715, 28,589.40 and 12,331.50 is: 17,019.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,715 : 28,589.40 = 12,331.50 : x
  2. Step 2: Convert to fraction form
    20,715/28,589.40 = 12,331.50/x
  3. Step 3: Cross multiply
    20,715x = 28,589.40 × 12,331.50
  4. Step 4: Simplify right side
    20,715x = 352,550,186.10
  5. Step 5: Solve for x
    x = 352,550,186.10/20,715
  6. Step 6: Final answer
    x = 17,019.08

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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.