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Finding the Fourth Proportional to 12,742.67, 17,580.64 and 7,704.98

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Solution

The fourth proportional to 12,742.67, 17,580.64 and 7,704.98 is: 10,630.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,742.67 : 17,580.64 = 7,704.98 : x
  2. Step 2: Convert to fraction form
    12,742.67/17,580.64 = 7,704.98/x
  3. Step 3: Cross multiply
    12,742.67x = 17,580.64 × 7,704.98
  4. Step 4: Simplify right side
    12,742.67x = 135,458,479.59
  5. Step 5: Solve for x
    x = 135,458,479.59/12,742.67
  6. Step 6: Final answer
    x = 10,630.31

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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.