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Finding the Fourth Proportional to 11,402.36, 15,735.84 and 8,603

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Solution

The fourth proportional to 11,402.36, 15,735.84 and 8,603 is: 11,872.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,402.36 : 15,735.84 = 8,603 : x
  2. Step 2: Convert to fraction form
    11,402.36/15,735.84 = 8,603/x
  3. Step 3: Cross multiply
    11,402.36x = 15,735.84 × 8,603
  4. Step 4: Simplify right side
    11,402.36x = 135,375,431.52
  5. Step 5: Solve for x
    x = 135,375,431.52/11,402.36
  6. Step 6: Final answer
    x = 11,872.58

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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.