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Finding the Fourth Proportional to 8,165, 11,266.80 and 4,628.18

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Solution

The fourth proportional to 8,165, 11,266.80 and 4,628.18 is: 6,386.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,165 : 11,266.80 = 4,628.18 : x
  2. Step 2: Convert to fraction form
    8,165/11,266.80 = 4,628.18/x
  3. Step 3: Cross multiply
    8,165x = 11,266.80 × 4,628.18
  4. Step 4: Simplify right side
    8,165x = 52,144,778.42
  5. Step 5: Solve for x
    x = 52,144,778.42/8,165
  6. Step 6: Final answer
    x = 6,386.38

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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.