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Finding the Fourth Proportional to 8,031.54, 11,959.12 and 7,943.34

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Solution

The fourth proportional to 8,031.54, 11,959.12 and 7,943.34 is: 11,827.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,031.54 : 11,959.12 = 7,943.34 : x
  2. Step 2: Convert to fraction form
    8,031.54/11,959.12 = 7,943.34/x
  3. Step 3: Cross multiply
    8,031.54x = 11,959.12 × 7,943.34
  4. Step 4: Simplify right side
    8,031.54x = 94,995,356.26
  5. Step 5: Solve for x
    x = 94,995,356.26/8,031.54
  6. Step 6: Final answer
    x = 11,827.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.