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Finding the Fourth Proportional to 11,402.25, 15,735.11 and 6,434.25

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Solution

The fourth proportional to 11,402.25, 15,735.11 and 6,434.25 is: 8,879.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,402.25 : 15,735.11 = 6,434.25 : x
  2. Step 2: Convert to fraction form
    11,402.25/15,735.11 = 6,434.25/x
  3. Step 3: Cross multiply
    11,402.25x = 15,735.11 × 6,434.25
  4. Step 4: Simplify right side
    11,402.25x = 101,243,631.52
  5. Step 5: Solve for x
    x = 101,243,631.52/11,402.25
  6. Step 6: Final answer
    x = 8,879.27

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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.