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Finding the Fourth Proportional to 8,415, 11,613.65 and 5,227.43

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Solution

The fourth proportional to 8,415, 11,613.65 and 5,227.43 is: 7,214.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,415 : 11,613.65 = 5,227.43 : x
  2. Step 2: Convert to fraction form
    8,415/11,613.65 = 5,227.43/x
  3. Step 3: Cross multiply
    8,415x = 11,613.65 × 5,227.43
  4. Step 4: Simplify right side
    8,415x = 60,709,458.21
  5. Step 5: Solve for x
    x = 60,709,458.21/8,415
  6. Step 6: Final answer
    x = 7,214.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.