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Finding the Fourth Proportional to 10,671.43, 15,975.51 and 7,910.47

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Solution

The fourth proportional to 10,671.43, 15,975.51 and 7,910.47 is: 11,842.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,671.43 : 15,975.51 = 7,910.47 : x
  2. Step 2: Convert to fraction form
    10,671.43/15,975.51 = 7,910.47/x
  3. Step 3: Cross multiply
    10,671.43x = 15,975.51 × 7,910.47
  4. Step 4: Simplify right side
    10,671.43x = 126,373,792.59
  5. Step 5: Solve for x
    x = 126,373,792.59/10,671.43
  6. Step 6: Final answer
    x = 11,842.25

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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.