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Finding the Fourth Proportional to 12,352.80, 17,056.80 and 8,107.20

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Solution

The fourth proportional to 12,352.80, 17,056.80 and 8,107.20 is: 11,194.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,352.80 : 17,056.80 = 8,107.20 : x
  2. Step 2: Convert to fraction form
    12,352.80/17,056.80 = 8,107.20/x
  3. Step 3: Cross multiply
    12,352.80x = 17,056.80 × 8,107.20
  4. Step 4: Simplify right side
    12,352.80x = 138,282,888.96
  5. Step 5: Solve for x
    x = 138,282,888.96/12,352.80
  6. Step 6: Final answer
    x = 11,194.46

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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.