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Finding the Fourth Proportional to 7,172.19, 9,892.13 and 5,189.31

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Solution

The fourth proportional to 7,172.19, 9,892.13 and 5,189.31 is: 7,157.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,172.19 : 9,892.13 = 5,189.31 : x
  2. Step 2: Convert to fraction form
    7,172.19/9,892.13 = 5,189.31/x
  3. Step 3: Cross multiply
    7,172.19x = 9,892.13 × 5,189.31
  4. Step 4: Simplify right side
    7,172.19x = 51,333,279.67
  5. Step 5: Solve for x
    x = 51,333,279.67/7,172.19
  6. Step 6: Final answer
    x = 7,157.27

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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.