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Finding the Fourth Proportional to 8,609.83, 12,918.42 and 4,709.68

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Solution

The fourth proportional to 8,609.83, 12,918.42 and 4,709.68 is: 7,066.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,609.83 : 12,918.42 = 4,709.68 : x
  2. Step 2: Convert to fraction form
    8,609.83/12,918.42 = 4,709.68/x
  3. Step 3: Cross multiply
    8,609.83x = 12,918.42 × 4,709.68
  4. Step 4: Simplify right side
    8,609.83x = 60,841,592.01
  5. Step 5: Solve for x
    x = 60,841,592.01/8,609.83
  6. Step 6: Final answer
    x = 7,066.53

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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.