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Finding the Fourth Proportional to 12,192.69, 16,834.11 and 7,657.29

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Solution

The fourth proportional to 12,192.69, 16,834.11 and 7,657.29 is: 10,572.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,192.69 : 16,834.11 = 7,657.29 : x
  2. Step 2: Convert to fraction form
    12,192.69/16,834.11 = 7,657.29/x
  3. Step 3: Cross multiply
    12,192.69x = 16,834.11 × 7,657.29
  4. Step 4: Simplify right side
    12,192.69x = 128,903,662.16
  5. Step 5: Solve for x
    x = 128,903,662.16/12,192.69
  6. Step 6: Final answer
    x = 10,572.21

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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.