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Finding the Fourth Proportional to 9,582.78, 14,369.34 and 2,918

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Solution

The fourth proportional to 9,582.78, 14,369.34 and 2,918 is: 4,375.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,582.78 : 14,369.34 = 2,918 : x
  2. Step 2: Convert to fraction form
    9,582.78/14,369.34 = 2,918/x
  3. Step 3: Cross multiply
    9,582.78x = 14,369.34 × 2,918
  4. Step 4: Simplify right side
    9,582.78x = 41,929,734.12
  5. Step 5: Solve for x
    x = 41,929,734.12/9,582.78
  6. Step 6: Final answer
    x = 4,375.53

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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.