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Finding the Fourth Proportional to 12,795.44, 17,657.88 and 7,206.56

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Solution

The fourth proportional to 12,795.44, 17,657.88 and 7,206.56 is: 9,945.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,795.44 : 17,657.88 = 7,206.56 : x
  2. Step 2: Convert to fraction form
    12,795.44/17,657.88 = 7,206.56/x
  3. Step 3: Cross multiply
    12,795.44x = 17,657.88 × 7,206.56
  4. Step 4: Simplify right side
    12,795.44x = 127,252,571.69
  5. Step 5: Solve for x
    x = 127,252,571.69/12,795.44
  6. Step 6: Final answer
    x = 9,945.15

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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.