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Finding the Fourth Proportional to 10,978.26, 16,467.40 and 3,582.70

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Solution

The fourth proportional to 10,978.26, 16,467.40 and 3,582.70 is: 5,374.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,978.26 : 16,467.40 = 3,582.70 : x
  2. Step 2: Convert to fraction form
    10,978.26/16,467.40 = 3,582.70/x
  3. Step 3: Cross multiply
    10,978.26x = 16,467.40 × 3,582.70
  4. Step 4: Simplify right side
    10,978.26x = 58,997,753.98
  5. Step 5: Solve for x
    x = 58,997,753.98/10,978.26
  6. Step 6: Final answer
    x = 5,374.05

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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.