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Finding the Fourth Proportional to 10,820, 16,218.36 and 4,578.56

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Solution

The fourth proportional to 10,820, 16,218.36 and 4,578.56 is: 6,862.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,820 : 16,218.36 = 4,578.56 : x
  2. Step 2: Convert to fraction form
    10,820/16,218.36 = 4,578.56/x
  3. Step 3: Cross multiply
    10,820x = 16,218.36 × 4,578.56
  4. Step 4: Simplify right side
    10,820x = 74,256,734.36
  5. Step 5: Solve for x
    x = 74,256,734.36/10,820
  6. Step 6: Final answer
    x = 6,862.91

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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.