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Finding the Fourth Proportional to 9,819.77, 13,553.03 and 6,282.86

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Solution

The fourth proportional to 9,819.77, 13,553.03 and 6,282.86 is: 8,671.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,819.77 : 13,553.03 = 6,282.86 : x
  2. Step 2: Convert to fraction form
    9,819.77/13,553.03 = 6,282.86/x
  3. Step 3: Cross multiply
    9,819.77x = 13,553.03 × 6,282.86
  4. Step 4: Simplify right side
    9,819.77x = 85,151,738.01
  5. Step 5: Solve for x
    x = 85,151,738.01/9,819.77
  6. Step 6: Final answer
    x = 8,671.46

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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.