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Finding the Fourth Proportional to 8,309.42, 11,464.95 and 5,078.42

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Solution

The fourth proportional to 8,309.42, 11,464.95 and 5,078.42 is: 7,006.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309.42 : 11,464.95 = 5,078.42 : x
  2. Step 2: Convert to fraction form
    8,309.42/11,464.95 = 5,078.42/x
  3. Step 3: Cross multiply
    8,309.42x = 11,464.95 × 5,078.42
  4. Step 4: Simplify right side
    8,309.42x = 58,223,805.07
  5. Step 5: Solve for x
    x = 58,223,805.07/8,309.42
  6. Step 6: Final answer
    x = 7,006.96

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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.