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Finding the Fourth Proportional to 10,630.07, 15,945.12 and 2,838.86

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Solution

The fourth proportional to 10,630.07, 15,945.12 and 2,838.86 is: 4,258.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,630.07 : 15,945.12 = 2,838.86 : x
  2. Step 2: Convert to fraction form
    10,630.07/15,945.12 = 2,838.86/x
  3. Step 3: Cross multiply
    10,630.07x = 15,945.12 × 2,838.86
  4. Step 4: Simplify right side
    10,630.07x = 45,265,883.64
  5. Step 5: Solve for x
    x = 45,265,883.64/10,630.07
  6. Step 6: Final answer
    x = 4,258.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.