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Finding the Fourth Proportional to 8,759.20, 13,106.80 and 6,455.20

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Solution

The fourth proportional to 8,759.20, 13,106.80 and 6,455.20 is: 9,659.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,759.20 : 13,106.80 = 6,455.20 : x
  2. Step 2: Convert to fraction form
    8,759.20/13,106.80 = 6,455.20/x
  3. Step 3: Cross multiply
    8,759.20x = 13,106.80 × 6,455.20
  4. Step 4: Simplify right side
    8,759.20x = 84,607,015.36
  5. Step 5: Solve for x
    x = 84,607,015.36/8,759.20
  6. Step 6: Final answer
    x = 9,659.22

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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.