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Finding the Fourth Proportional to 6,270, 8,652.90 and 3,475.50

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Solution

The fourth proportional to 6,270, 8,652.90 and 3,475.50 is: 4,796.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,270 : 8,652.90 = 3,475.50 : x
  2. Step 2: Convert to fraction form
    6,270/8,652.90 = 3,475.50/x
  3. Step 3: Cross multiply
    6,270x = 8,652.90 × 3,475.50
  4. Step 4: Simplify right side
    6,270x = 30,073,153.95
  5. Step 5: Solve for x
    x = 30,073,153.95/6,270
  6. Step 6: Final answer
    x = 4,796.36

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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.