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Finding the Fourth Proportional to 13,010.81, 17,954.84 and 7,042.42

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Solution

The fourth proportional to 13,010.81, 17,954.84 and 7,042.42 is: 9,718.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,010.81 : 17,954.84 = 7,042.42 : x
  2. Step 2: Convert to fraction form
    13,010.81/17,954.84 = 7,042.42/x
  3. Step 3: Cross multiply
    13,010.81x = 17,954.84 × 7,042.42
  4. Step 4: Simplify right side
    13,010.81x = 126,445,524.31
  5. Step 5: Solve for x
    x = 126,445,524.31/13,010.81
  6. Step 6: Final answer
    x = 9,718.50

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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.