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Finding the Fourth Proportional to 11,645.70, 16,072.17 and 7,172.07

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Solution

The fourth proportional to 11,645.70, 16,072.17 and 7,172.07 is: 9,898.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,645.70 : 16,072.17 = 7,172.07 : x
  2. Step 2: Convert to fraction form
    11,645.70/16,072.17 = 7,172.07/x
  3. Step 3: Cross multiply
    11,645.70x = 16,072.17 × 7,172.07
  4. Step 4: Simplify right side
    11,645.70x = 115,270,728.29
  5. Step 5: Solve for x
    x = 115,270,728.29/11,645.70
  6. Step 6: Final answer
    x = 9,898.14

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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.