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Finding the Fourth Proportional to 6,308.64, 9,465.12 and 5,392.80

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Solution

The fourth proportional to 6,308.64, 9,465.12 and 5,392.80 is: 8,091.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,308.64 : 9,465.12 = 5,392.80 : x
  2. Step 2: Convert to fraction form
    6,308.64/9,465.12 = 5,392.80/x
  3. Step 3: Cross multiply
    6,308.64x = 9,465.12 × 5,392.80
  4. Step 4: Simplify right side
    6,308.64x = 51,043,499.14
  5. Step 5: Solve for x
    x = 51,043,499.14/6,308.64
  6. Step 6: Final answer
    x = 8,091.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.