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Finding the Fourth Proportional to 8,782.51, 13,162.26 and 7,669.12

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Solution

The fourth proportional to 8,782.51, 13,162.26 and 7,669.12 is: 11,493.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,782.51 : 13,162.26 = 7,669.12 : x
  2. Step 2: Convert to fraction form
    8,782.51/13,162.26 = 7,669.12/x
  3. Step 3: Cross multiply
    8,782.51x = 13,162.26 × 7,669.12
  4. Step 4: Simplify right side
    8,782.51x = 100,942,951.41
  5. Step 5: Solve for x
    x = 100,942,951.41/8,782.51
  6. Step 6: Final answer
    x = 11,493.63

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1.5x scale

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.