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Finding the Fourth Proportional to 12,986.62, 17,925.97 and 7,610.78

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Solution

The fourth proportional to 12,986.62, 17,925.97 and 7,610.78 is: 10,505.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,986.62 : 17,925.97 = 7,610.78 : x
  2. Step 2: Convert to fraction form
    12,986.62/17,925.97 = 7,610.78/x
  3. Step 3: Cross multiply
    12,986.62x = 17,925.97 × 7,610.78
  4. Step 4: Simplify right side
    12,986.62x = 136,430,524.33
  5. Step 5: Solve for x
    x = 136,430,524.33/12,986.62
  6. Step 6: Final answer
    x = 10,505.47

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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.