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Finding the Fourth Proportional to 12,636.74, 17,438.26 and 6,971.60

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Solution

The fourth proportional to 12,636.74, 17,438.26 and 6,971.60 is: 9,620.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,636.74 : 17,438.26 = 6,971.60 : x
  2. Step 2: Convert to fraction form
    12,636.74/17,438.26 = 6,971.60/x
  3. Step 3: Cross multiply
    12,636.74x = 17,438.26 × 6,971.60
  4. Step 4: Simplify right side
    12,636.74x = 121,572,573.42
  5. Step 5: Solve for x
    x = 121,572,573.42/12,636.74
  6. Step 6: Final answer
    x = 9,620.56

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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.