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Finding the Fourth Proportional to 28,520.26, 42,786 and 9,795.74

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Solution

The fourth proportional to 28,520.26, 42,786 and 9,795.74 is: 14,695.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,520.26 : 42,786 = 9,795.74 : x
  2. Step 2: Convert to fraction form
    28,520.26/42,786 = 9,795.74/x
  3. Step 3: Cross multiply
    28,520.26x = 42,786 × 9,795.74
  4. Step 4: Simplify right side
    28,520.26x = 419,120,317.71
  5. Step 5: Solve for x
    x = 419,120,317.71/28,520.26
  6. Step 6: Final answer
    x = 14,695.53

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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.