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Finding the Fourth Proportional to 16,761, 25,141.64 and 5,075.16

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Solution

The fourth proportional to 16,761, 25,141.64 and 5,075.16 is: 7,612.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,761 : 25,141.64 = 5,075.16 : x
  2. Step 2: Convert to fraction form
    16,761/25,141.64 = 5,075.16/x
  3. Step 3: Cross multiply
    16,761x = 25,141.64 × 5,075.16
  4. Step 4: Simplify right side
    16,761x = 127,597,845.66
  5. Step 5: Solve for x
    x = 127,597,845.66/16,761
  6. Step 6: Final answer
    x = 7,612.78

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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.