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Finding the Fourth Proportional to 8,464.76, 12,675.06 and 6,812.28

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Solution

The fourth proportional to 8,464.76, 12,675.06 and 6,812.28 is: 10,200.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,464.76 : 12,675.06 = 6,812.28 : x
  2. Step 2: Convert to fraction form
    8,464.76/12,675.06 = 6,812.28/x
  3. Step 3: Cross multiply
    8,464.76x = 12,675.06 × 6,812.28
  4. Step 4: Simplify right side
    8,464.76x = 86,346,057.74
  5. Step 5: Solve for x
    x = 86,346,057.74/8,464.76
  6. Step 6: Final answer
    x = 10,200.65

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1.5x scale

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.