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Finding the Fourth Proportional to 5,445.90, 8,169.16 and 1,550

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Solution

The fourth proportional to 5,445.90, 8,169.16 and 1,550 is: 2,325.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,445.90 : 8,169.16 = 1,550 : x
  2. Step 2: Convert to fraction form
    5,445.90/8,169.16 = 1,550/x
  3. Step 3: Cross multiply
    5,445.90x = 8,169.16 × 1,550
  4. Step 4: Simplify right side
    5,445.90x = 12,662,198
  5. Step 5: Solve for x
    x = 12,662,198/5,445.90
  6. Step 6: Final answer
    x = 2,325.09

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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.