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Finding the Fourth Proportional to 11,396.13, 15,721.27 and 7,415.79

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Solution

The fourth proportional to 11,396.13, 15,721.27 and 7,415.79 is: 10,230.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,396.13 : 15,721.27 = 7,415.79 : x
  2. Step 2: Convert to fraction form
    11,396.13/15,721.27 = 7,415.79/x
  3. Step 3: Cross multiply
    11,396.13x = 15,721.27 × 7,415.79
  4. Step 4: Simplify right side
    11,396.13x = 116,585,618.31
  5. Step 5: Solve for x
    x = 116,585,618.31/11,396.13
  6. Step 6: Final answer
    x = 10,230.28

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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.