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Finding the Fourth Proportional to 8,540.52, 12,804.30 and 7,089

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Solution

The fourth proportional to 8,540.52, 12,804.30 and 7,089 is: 10,628.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,540.52 : 12,804.30 = 7,089 : x
  2. Step 2: Convert to fraction form
    8,540.52/12,804.30 = 7,089/x
  3. Step 3: Cross multiply
    8,540.52x = 12,804.30 × 7,089
  4. Step 4: Simplify right side
    8,540.52x = 90,769,682.70
  5. Step 5: Solve for x
    x = 90,769,682.70/8,540.52
  6. Step 6: Final answer
    x = 10,628.12

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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.