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Finding the Fourth Proportional to 10,878, 16,317.02 and 4,722

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Solution

The fourth proportional to 10,878, 16,317.02 and 4,722 is: 7,083.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,878 : 16,317.02 = 4,722 : x
  2. Step 2: Convert to fraction form
    10,878/16,317.02 = 4,722/x
  3. Step 3: Cross multiply
    10,878x = 16,317.02 × 4,722
  4. Step 4: Simplify right side
    10,878x = 77,048,944.83
  5. Step 5: Solve for x
    x = 77,048,944.83/10,878
  6. Step 6: Final answer
    x = 7,083.01

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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.