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Finding the Fourth Proportional to 8,425.30, 11,627.00 and 4,648.60

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Solution

The fourth proportional to 8,425.30, 11,627.00 and 4,648.60 is: 6,415.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,425.30 : 11,627.00 = 4,648.60 : x
  2. Step 2: Convert to fraction form
    8,425.30/11,627.00 = 4,648.60/x
  3. Step 3: Cross multiply
    8,425.30x = 11,627.00 × 4,648.60
  4. Step 4: Simplify right side
    8,425.30x = 54,049,208.25
  5. Step 5: Solve for x
    x = 54,049,208.25/8,425.30
  6. Step 6: Final answer
    x = 6,415.11

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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.