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Finding the Fourth Proportional to 8,228.16, 12,330.48 and 7,784.64

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Solution

The fourth proportional to 8,228.16, 12,330.48 and 7,784.64 is: 11,665.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,228.16 : 12,330.48 = 7,784.64 : x
  2. Step 2: Convert to fraction form
    8,228.16/12,330.48 = 7,784.64/x
  3. Step 3: Cross multiply
    8,228.16x = 12,330.48 × 7,784.64
  4. Step 4: Simplify right side
    8,228.16x = 95,988,347.83
  5. Step 5: Solve for x
    x = 95,988,347.83/8,228.16
  6. Step 6: Final answer
    x = 11,665.83

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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.