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Finding the Fourth Proportional to 12,762.93, 17,608.78 and 7,725.54

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Solution

The fourth proportional to 12,762.93, 17,608.78 and 7,725.54 is: 10,658.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,762.93 : 17,608.78 = 7,725.54 : x
  2. Step 2: Convert to fraction form
    12,762.93/17,608.78 = 7,725.54/x
  3. Step 3: Cross multiply
    12,762.93x = 17,608.78 × 7,725.54
  4. Step 4: Simplify right side
    12,762.93x = 136,037,334.24
  5. Step 5: Solve for x
    x = 136,037,334.24/12,762.93
  6. Step 6: Final answer
    x = 10,658.79

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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.