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Finding the Fourth Proportional to 11,396.68, 15,715.02 and 7,410.40

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Solution

The fourth proportional to 11,396.68, 15,715.02 and 7,410.40 is: 10,218.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,396.68 : 15,715.02 = 7,410.40 : x
  2. Step 2: Convert to fraction form
    11,396.68/15,715.02 = 7,410.40/x
  3. Step 3: Cross multiply
    11,396.68x = 15,715.02 × 7,410.40
  4. Step 4: Simplify right side
    11,396.68x = 116,454,584.21
  5. Step 5: Solve for x
    x = 116,454,584.21/11,396.68
  6. Step 6: Final answer
    x = 10,218.29

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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.