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Finding the Fourth Proportional to 12,812.80, 17,684.46 and 8,103.40

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Solution

The fourth proportional to 12,812.80, 17,684.46 and 8,103.40 is: 11,184.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,812.80 : 17,684.46 = 8,103.40 : x
  2. Step 2: Convert to fraction form
    12,812.80/17,684.46 = 8,103.40/x
  3. Step 3: Cross multiply
    12,812.80x = 17,684.46 × 8,103.40
  4. Step 4: Simplify right side
    12,812.80x = 143,304,253.16
  5. Step 5: Solve for x
    x = 143,304,253.16/12,812.80
  6. Step 6: Final answer
    x = 11,184.46

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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.