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Finding the Fourth Proportional to 8,609.68, 11,878.30 and 5,627.23

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Solution

The fourth proportional to 8,609.68, 11,878.30 and 5,627.23 is: 7,763.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,609.68 : 11,878.30 = 5,627.23 : x
  2. Step 2: Convert to fraction form
    8,609.68/11,878.30 = 5,627.23/x
  3. Step 3: Cross multiply
    8,609.68x = 11,878.30 × 5,627.23
  4. Step 4: Simplify right side
    8,609.68x = 66,841,918.68
  5. Step 5: Solve for x
    x = 66,841,918.68/8,609.68
  6. Step 6: Final answer
    x = 7,763.58

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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.