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Finding the Fourth Proportional to 13,010.45, 17,954.45 and 7,042.17

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Solution

The fourth proportional to 13,010.45, 17,954.45 and 7,042.17 is: 9,718.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,010.45 : 17,954.45 = 7,042.17 : x
  2. Step 2: Convert to fraction form
    13,010.45/17,954.45 = 7,042.17/x
  3. Step 3: Cross multiply
    13,010.45x = 17,954.45 × 7,042.17
  4. Step 4: Simplify right side
    13,010.45x = 126,438,289.16
  5. Step 5: Solve for x
    x = 126,438,289.16/13,010.45
  6. Step 6: Final answer
    x = 9,718.21

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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.