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Finding the Fourth Proportional to 29,031.68, 43,540.16 and 7,971.76

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Solution

The fourth proportional to 29,031.68, 43,540.16 and 7,971.76 is: 11,955.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,031.68 : 43,540.16 = 7,971.76 : x
  2. Step 2: Convert to fraction form
    29,031.68/43,540.16 = 7,971.76/x
  3. Step 3: Cross multiply
    29,031.68x = 43,540.16 × 7,971.76
  4. Step 4: Simplify right side
    29,031.68x = 347,091,705.88
  5. Step 5: Solve for x
    x = 347,091,705.88/29,031.68
  6. Step 6: Final answer
    x = 11,955.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.