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Finding the Fourth Proportional to 28,520, 42,742.26 and 20,648.84

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Solution

The fourth proportional to 28,520, 42,742.26 and 20,648.84 is: 30,945.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,520 : 42,742.26 = 20,648.84 : x
  2. Step 2: Convert to fraction form
    28,520/42,742.26 = 20,648.84/x
  3. Step 3: Cross multiply
    28,520x = 42,742.26 × 20,648.84
  4. Step 4: Simplify right side
    28,520x = 882,578,087.98
  5. Step 5: Solve for x
    x = 882,578,087.98/28,520
  6. Step 6: Final answer
    x = 30,945.94

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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.