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Finding the Fourth Proportional to 12,777.23, 17,633.08 and 7,738.60

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Solution

The fourth proportional to 12,777.23, 17,633.08 and 7,738.60 is: 10,679.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,777.23 : 17,633.08 = 7,738.60 : x
  2. Step 2: Convert to fraction form
    12,777.23/17,633.08 = 7,738.60/x
  3. Step 3: Cross multiply
    12,777.23x = 17,633.08 × 7,738.60
  4. Step 4: Simplify right side
    12,777.23x = 136,455,352.89
  5. Step 5: Solve for x
    x = 136,455,352.89/12,777.23
  6. Step 6: Final answer
    x = 10,679.57

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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.