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Finding the Fourth Proportional to 7,969.62, 10,999.89 and 5,170.26

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Solution

The fourth proportional to 7,969.62, 10,999.89 and 5,170.26 is: 7,136.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,969.62 : 10,999.89 = 5,170.26 : x
  2. Step 2: Convert to fraction form
    7,969.62/10,999.89 = 5,170.26/x
  3. Step 3: Cross multiply
    7,969.62x = 10,999.89 × 5,170.26
  4. Step 4: Simplify right side
    7,969.62x = 56,872,291.27
  5. Step 5: Solve for x
    x = 56,872,291.27/7,969.62
  6. Step 6: Final answer
    x = 7,136.14

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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.