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Finding the Fourth Proportional to 12,959.64, 17,884.90 and 7,654.48

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Solution

The fourth proportional to 12,959.64, 17,884.90 and 7,654.48 is: 10,563.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,959.64 : 17,884.90 = 7,654.48 : x
  2. Step 2: Convert to fraction form
    12,959.64/17,884.90 = 7,654.48/x
  3. Step 3: Cross multiply
    12,959.64x = 17,884.90 × 7,654.48
  4. Step 4: Simplify right side
    12,959.64x = 136,899,609.35
  5. Step 5: Solve for x
    x = 136,899,609.35/12,959.64
  6. Step 6: Final answer
    x = 10,563.53

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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.