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Finding the Fourth Proportional to 6,454.40, 9,659.20 and 3,859.20

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Solution

The fourth proportional to 6,454.40, 9,659.20 and 3,859.20 is: 5,775.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,454.40 : 9,659.20 = 3,859.20 : x
  2. Step 2: Convert to fraction form
    6,454.40/9,659.20 = 3,859.20/x
  3. Step 3: Cross multiply
    6,454.40x = 9,659.20 × 3,859.20
  4. Step 4: Simplify right side
    6,454.40x = 37,276,784.64
  5. Step 5: Solve for x
    x = 37,276,784.64/6,454.40
  6. Step 6: Final answer
    x = 5,775.41

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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.