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Finding the Fourth Proportional to 8,538.16, 12,813 and 2,991.54

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Solution

The fourth proportional to 8,538.16, 12,813 and 2,991.54 is: 4,489.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,538.16 : 12,813 = 2,991.54 : x
  2. Step 2: Convert to fraction form
    8,538.16/12,813 = 2,991.54/x
  3. Step 3: Cross multiply
    8,538.16x = 12,813 × 2,991.54
  4. Step 4: Simplify right side
    8,538.16x = 38,330,602.02
  5. Step 5: Solve for x
    x = 38,330,602.02/8,538.16
  6. Step 6: Final answer
    x = 4,489.33

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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.