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Finding the Fourth Proportional to 6,415, 8,852.70 and 3,620.68

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Solution

The fourth proportional to 6,415, 8,852.70 and 3,620.68 is: 4,996.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415 : 8,852.70 = 3,620.68 : x
  2. Step 2: Convert to fraction form
    6,415/8,852.70 = 3,620.68/x
  3. Step 3: Cross multiply
    6,415x = 8,852.70 × 3,620.68
  4. Step 4: Simplify right side
    6,415x = 32,052,793.84
  5. Step 5: Solve for x
    x = 32,052,793.84/6,415
  6. Step 6: Final answer
    x = 4,996.54

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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.