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Finding the Fourth Proportional to 6,204.16, 8,562 and 3,551.20

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Solution

The fourth proportional to 6,204.16, 8,562 and 3,551.20 is: 4,900.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,204.16 : 8,562 = 3,551.20 : x
  2. Step 2: Convert to fraction form
    6,204.16/8,562 = 3,551.20/x
  3. Step 3: Cross multiply
    6,204.16x = 8,562 × 3,551.20
  4. Step 4: Simplify right side
    6,204.16x = 30,405,374.40
  5. Step 5: Solve for x
    x = 30,405,374.40/6,204.16
  6. Step 6: Final answer
    x = 4,900.80

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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.