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Finding the Fourth Proportional to 8,178.41, 11,289.59 and 5,529.41

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Solution

The fourth proportional to 8,178.41, 11,289.59 and 5,529.41 is: 7,632.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,178.41 : 11,289.59 = 5,529.41 : x
  2. Step 2: Convert to fraction form
    8,178.41/11,289.59 = 5,529.41/x
  3. Step 3: Cross multiply
    8,178.41x = 11,289.59 × 5,529.41
  4. Step 4: Simplify right side
    8,178.41x = 62,424,687.75
  5. Step 5: Solve for x
    x = 62,424,687.75/8,178.41
  6. Step 6: Final answer
    x = 7,632.87

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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.