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Finding the Fourth Proportional to 8,031.90, 11,267.70 and 8,031.90

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Solution

The fourth proportional to 8,031.90, 11,267.70 and 8,031.90 is: 11,267.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,031.90 : 11,267.70 = 8,031.90 : x
  2. Step 2: Convert to fraction form
    8,031.90/11,267.70 = 8,031.90/x
  3. Step 3: Cross multiply
    8,031.90x = 11,267.70 × 8,031.90
  4. Step 4: Simplify right side
    8,031.90x = 90,501,039.63
  5. Step 5: Solve for x
    x = 90,501,039.63/8,031.90
  6. Step 6: Final answer
    x = 11,267.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.