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Finding the Fourth Proportional to 9,409.80, 13,010.10 and 8,243.40

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Solution

The fourth proportional to 9,409.80, 13,010.10 and 8,243.40 is: 11,397.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,409.80 : 13,010.10 = 8,243.40 : x
  2. Step 2: Convert to fraction form
    9,409.80/13,010.10 = 8,243.40/x
  3. Step 3: Cross multiply
    9,409.80x = 13,010.10 × 8,243.40
  4. Step 4: Simplify right side
    9,409.80x = 107,247,458.34
  5. Step 5: Solve for x
    x = 107,247,458.34/9,409.80
  6. Step 6: Final answer
    x = 11,397.42

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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.