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Finding the Fourth Proportional to 12,176.73, 18,294.21 and 7,802.73

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Solution

The fourth proportional to 12,176.73, 18,294.21 and 7,802.73 is: 11,722.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,176.73 : 18,294.21 = 7,802.73 : x
  2. Step 2: Convert to fraction form
    12,176.73/18,294.21 = 7,802.73/x
  3. Step 3: Cross multiply
    12,176.73x = 18,294.21 × 7,802.73
  4. Step 4: Simplify right side
    12,176.73x = 142,744,781.19
  5. Step 5: Solve for x
    x = 142,744,781.19/12,176.73
  6. Step 6: Final answer
    x = 11,722.75

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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.