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Finding the Fourth Proportional to 8,523.77, 12,782.65 and 3,260.25

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Solution

The fourth proportional to 8,523.77, 12,782.65 and 3,260.25 is: 4,889.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,523.77 : 12,782.65 = 3,260.25 : x
  2. Step 2: Convert to fraction form
    8,523.77/12,782.65 = 3,260.25/x
  3. Step 3: Cross multiply
    8,523.77x = 12,782.65 × 3,260.25
  4. Step 4: Simplify right side
    8,523.77x = 41,674,634.66
  5. Step 5: Solve for x
    x = 41,674,634.66/8,523.77
  6. Step 6: Final answer
    x = 4,889.23

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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.