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Finding the Fourth Proportional to 12,452.63, 17,177.95 and 7,971.56

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Solution

The fourth proportional to 12,452.63, 17,177.95 and 7,971.56 is: 10,996.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,452.63 : 17,177.95 = 7,971.56 : x
  2. Step 2: Convert to fraction form
    12,452.63/17,177.95 = 7,971.56/x
  3. Step 3: Cross multiply
    12,452.63x = 17,177.95 × 7,971.56
  4. Step 4: Simplify right side
    12,452.63x = 136,935,059.10
  5. Step 5: Solve for x
    x = 136,935,059.10/12,452.63
  6. Step 6: Final answer
    x = 10,996.48

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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.