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Finding the Fourth Proportional to 8,425.92, 11,627.69 and 4,649.12

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Solution

The fourth proportional to 8,425.92, 11,627.69 and 4,649.12 is: 6,415.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,425.92 : 11,627.69 = 4,649.12 : x
  2. Step 2: Convert to fraction form
    8,425.92/11,627.69 = 4,649.12/x
  3. Step 3: Cross multiply
    8,425.92x = 11,627.69 × 4,649.12
  4. Step 4: Simplify right side
    8,425.92x = 54,058,566.82
  5. Step 5: Solve for x
    x = 54,058,566.82/8,425.92
  6. Step 6: Final answer
    x = 6,415.75

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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.