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Finding the Fourth Proportional to 10,722.88, 16,088.93 and 5,180.38

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Solution

The fourth proportional to 10,722.88, 16,088.93 and 5,180.38 is: 7,772.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,722.88 : 16,088.93 = 5,180.38 : x
  2. Step 2: Convert to fraction form
    10,722.88/16,088.93 = 5,180.38/x
  3. Step 3: Cross multiply
    10,722.88x = 16,088.93 × 5,180.38
  4. Step 4: Simplify right side
    10,722.88x = 83,346,771.19
  5. Step 5: Solve for x
    x = 83,346,771.19/10,722.88
  6. Step 6: Final answer
    x = 7,772.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.