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Finding the Fourth Proportional to 8,628.72, 12,934.44 and 7,350

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Solution

The fourth proportional to 8,628.72, 12,934.44 and 7,350 is: 11,017.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,628.72 : 12,934.44 = 7,350 : x
  2. Step 2: Convert to fraction form
    8,628.72/12,934.44 = 7,350/x
  3. Step 3: Cross multiply
    8,628.72x = 12,934.44 × 7,350
  4. Step 4: Simplify right side
    8,628.72x = 95,068,134
  5. Step 5: Solve for x
    x = 95,068,134/8,628.72
  6. Step 6: Final answer
    x = 11,017.64

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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.