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Finding the Fourth Proportional to 8,456.03, 11,663.94 and 6,781.46

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Solution

The fourth proportional to 8,456.03, 11,663.94 and 6,781.46 is: 9,354.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,456.03 : 11,663.94 = 6,781.46 : x
  2. Step 2: Convert to fraction form
    8,456.03/11,663.94 = 6,781.46/x
  3. Step 3: Cross multiply
    8,456.03x = 11,663.94 × 6,781.46
  4. Step 4: Simplify right side
    8,456.03x = 79,098,542.55
  5. Step 5: Solve for x
    x = 79,098,542.55/8,456.03
  6. Step 6: Final answer
    x = 9,354.10

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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.