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Finding the Fourth Proportional to 8,764.88, 13,083.75 and 8,114.48

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Solution

The fourth proportional to 8,764.88, 13,083.75 and 8,114.48 is: 12,112.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,764.88 : 13,083.75 = 8,114.48 : x
  2. Step 2: Convert to fraction form
    8,764.88/13,083.75 = 8,114.48/x
  3. Step 3: Cross multiply
    8,764.88x = 13,083.75 × 8,114.48
  4. Step 4: Simplify right side
    8,764.88x = 106,167,762.28
  5. Step 5: Solve for x
    x = 106,167,762.28/8,764.88
  6. Step 6: Final answer
    x = 12,112.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.