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Finding the Fourth Proportional to 12,525.38, 17,276.71 and 8,054.78

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Solution

The fourth proportional to 12,525.38, 17,276.71 and 8,054.78 is: 11,110.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,525.38 : 17,276.71 = 8,054.78 : x
  2. Step 2: Convert to fraction form
    12,525.38/17,276.71 = 8,054.78/x
  3. Step 3: Cross multiply
    12,525.38x = 17,276.71 × 8,054.78
  4. Step 4: Simplify right side
    12,525.38x = 139,160,057.90
  5. Step 5: Solve for x
    x = 139,160,057.90/12,525.38
  6. Step 6: Final answer
    x = 11,110.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.