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Finding the Fourth Proportional to 6,270, 8,652.78 and 3,475.68

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Solution

The fourth proportional to 6,270, 8,652.78 and 3,475.68 is: 4,796.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,270 : 8,652.78 = 3,475.68 : x
  2. Step 2: Convert to fraction form
    6,270/8,652.78 = 3,475.68/x
  3. Step 3: Cross multiply
    6,270x = 8,652.78 × 3,475.68
  4. Step 4: Simplify right side
    6,270x = 30,074,294.39
  5. Step 5: Solve for x
    x = 30,074,294.39/6,270
  6. Step 6: Final answer
    x = 4,796.54

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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.