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Finding the Fourth Proportional to 11,402, 15,735.30 and 6,366.38

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Solution

The fourth proportional to 11,402, 15,735.30 and 6,366.38 is: 8,785.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,402 : 15,735.30 = 6,366.38 : x
  2. Step 2: Convert to fraction form
    11,402/15,735.30 = 6,366.38/x
  3. Step 3: Cross multiply
    11,402x = 15,735.30 × 6,366.38
  4. Step 4: Simplify right side
    11,402x = 100,176,899.21
  5. Step 5: Solve for x
    x = 100,176,899.21/11,402
  6. Step 6: Final answer
    x = 8,785.91

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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.