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Finding the Fourth Proportional to 12,769.32, 17,622 and 7,734.45

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Solution

The fourth proportional to 12,769.32, 17,622 and 7,734.45 is: 10,673.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,769.32 : 17,622 = 7,734.45 : x
  2. Step 2: Convert to fraction form
    12,769.32/17,622 = 7,734.45/x
  3. Step 3: Cross multiply
    12,769.32x = 17,622 × 7,734.45
  4. Step 4: Simplify right side
    12,769.32x = 136,296,477.90
  5. Step 5: Solve for x
    x = 136,296,477.90/12,769.32
  6. Step 6: Final answer
    x = 10,673.75

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1.5x scale

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.