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Finding the Fourth Proportional to 6,308.16, 8,704.80 and 3,475.20

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Solution

The fourth proportional to 6,308.16, 8,704.80 and 3,475.20 is: 4,795.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,308.16 : 8,704.80 = 3,475.20 : x
  2. Step 2: Convert to fraction form
    6,308.16/8,704.80 = 3,475.20/x
  3. Step 3: Cross multiply
    6,308.16x = 8,704.80 × 3,475.20
  4. Step 4: Simplify right side
    6,308.16x = 30,250,920.96
  5. Step 5: Solve for x
    x = 30,250,920.96/6,308.16
  6. Step 6: Final answer
    x = 4,795.52

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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.