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Finding the Fourth Proportional to 10,671.70, 15,971.10 and 9,796.90

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Solution

The fourth proportional to 10,671.70, 15,971.10 and 9,796.90 is: 14,661.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,671.70 : 15,971.10 = 9,796.90 : x
  2. Step 2: Convert to fraction form
    10,671.70/15,971.10 = 9,796.90/x
  3. Step 3: Cross multiply
    10,671.70x = 15,971.10 × 9,796.90
  4. Step 4: Simplify right side
    10,671.70x = 156,467,269.59
  5. Step 5: Solve for x
    x = 156,467,269.59/10,671.70
  6. Step 6: Final answer
    x = 14,661.89

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1.5x scale

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.