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Finding the Fourth Proportional to 6,388.49, 9,582.72 and 1,771.49

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Solution

The fourth proportional to 6,388.49, 9,582.72 and 1,771.49 is: 2,657.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,388.49 : 9,582.72 = 1,771.49 : x
  2. Step 2: Convert to fraction form
    6,388.49/9,582.72 = 1,771.49/x
  3. Step 3: Cross multiply
    6,388.49x = 9,582.72 × 1,771.49
  4. Step 4: Simplify right side
    6,388.49x = 16,975,644.74
  5. Step 5: Solve for x
    x = 16,975,644.74/6,388.49
  6. Step 6: Final answer
    x = 2,657.23

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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.