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Finding the Fourth Proportional to 8,425.77, 11,628.23 and 4,649.28

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Solution

The fourth proportional to 8,425.77, 11,628.23 and 4,649.28 is: 6,416.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,425.77 : 11,628.23 = 4,649.28 : x
  2. Step 2: Convert to fraction form
    8,425.77/11,628.23 = 4,649.28/x
  3. Step 3: Cross multiply
    8,425.77x = 11,628.23 × 4,649.28
  4. Step 4: Simplify right side
    8,425.77x = 54,062,873.93
  5. Step 5: Solve for x
    x = 54,062,873.93/8,425.77
  6. Step 6: Final answer
    x = 6,416.37

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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.