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Finding the Fourth Proportional to 8,584.14, 12,804.36 and 7,181.76

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Solution

The fourth proportional to 8,584.14, 12,804.36 and 7,181.76 is: 10,712.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,584.14 : 12,804.36 = 7,181.76 : x
  2. Step 2: Convert to fraction form
    8,584.14/12,804.36 = 7,181.76/x
  3. Step 3: Cross multiply
    8,584.14x = 12,804.36 × 7,181.76
  4. Step 4: Simplify right side
    8,584.14x = 91,957,840.47
  5. Step 5: Solve for x
    x = 91,957,840.47/8,584.14
  6. Step 6: Final answer
    x = 10,712.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.