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Finding the Fourth Proportional to 12,854.54, 17,742.58 and 8,141.42

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Solution

The fourth proportional to 12,854.54, 17,742.58 and 8,141.42 is: 11,237.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,854.54 : 17,742.58 = 8,141.42 : x
  2. Step 2: Convert to fraction form
    12,854.54/17,742.58 = 8,141.42/x
  3. Step 3: Cross multiply
    12,854.54x = 17,742.58 × 8,141.42
  4. Step 4: Simplify right side
    12,854.54x = 144,449,795.66
  5. Step 5: Solve for x
    x = 144,449,795.66/12,854.54
  6. Step 6: Final answer
    x = 11,237.26

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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.