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Finding the Fourth Proportional to 8,761.64, 13,147.48 and 3,214.26

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Solution

The fourth proportional to 8,761.64, 13,147.48 and 3,214.26 is: 4,823.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,761.64 : 13,147.48 = 3,214.26 : x
  2. Step 2: Convert to fraction form
    8,761.64/13,147.48 = 3,214.26/x
  3. Step 3: Cross multiply
    8,761.64x = 13,147.48 × 3,214.26
  4. Step 4: Simplify right side
    8,761.64x = 42,259,419.06
  5. Step 5: Solve for x
    x = 42,259,419.06/8,761.64
  6. Step 6: Final answer
    x = 4,823.23

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1.5x scale

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.