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Finding the Fourth Proportional to 11,396.68, 15,718.44 and 7,419.04

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Solution

The fourth proportional to 11,396.68, 15,718.44 and 7,419.04 is: 10,232.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,396.68 : 15,718.44 = 7,419.04 : x
  2. Step 2: Convert to fraction form
    11,396.68/15,718.44 = 7,419.04/x
  3. Step 3: Cross multiply
    11,396.68x = 15,718.44 × 7,419.04
  4. Step 4: Simplify right side
    11,396.68x = 116,615,735.10
  5. Step 5: Solve for x
    x = 116,615,735.10/11,396.68
  6. Step 6: Final answer
    x = 10,232.43

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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.