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Finding the Fourth Proportional to 11,396.80, 15,735.04 and 7,370.56

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Solution

The fourth proportional to 11,396.80, 15,735.04 and 7,370.56 is: 10,176.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,396.80 : 15,735.04 = 7,370.56 : x
  2. Step 2: Convert to fraction form
    11,396.80/15,735.04 = 7,370.56/x
  3. Step 3: Cross multiply
    11,396.80x = 15,735.04 × 7,370.56
  4. Step 4: Simplify right side
    11,396.80x = 115,976,056.42
  5. Step 5: Solve for x
    x = 115,976,056.42/11,396.80
  6. Step 6: Final answer
    x = 10,176.19

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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.