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Finding the Fourth Proportional to 8,571.46, 11,807.46 and 7,308.40

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Solution

The fourth proportional to 8,571.46, 11,807.46 and 7,308.40 is: 10,067.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,571.46 : 11,807.46 = 7,308.40 : x
  2. Step 2: Convert to fraction form
    8,571.46/11,807.46 = 7,308.40/x
  3. Step 3: Cross multiply
    8,571.46x = 11,807.46 × 7,308.40
  4. Step 4: Simplify right side
    8,571.46x = 86,293,640.66
  5. Step 5: Solve for x
    x = 86,293,640.66/8,571.46
  6. Step 6: Final answer
    x = 10,067.55

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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.