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Finding the Fourth Proportional to 8,571.41, 12,828.60 and 7,543.77

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Solution

The fourth proportional to 8,571.41, 12,828.60 and 7,543.77 is: 11,290.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,571.41 : 12,828.60 = 7,543.77 : x
  2. Step 2: Convert to fraction form
    8,571.41/12,828.60 = 7,543.77/x
  3. Step 3: Cross multiply
    8,571.41x = 12,828.60 × 7,543.77
  4. Step 4: Simplify right side
    8,571.41x = 96,776,007.82
  5. Step 5: Solve for x
    x = 96,776,007.82/8,571.41
  6. Step 6: Final answer
    x = 11,290.57

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1.5x scale

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.