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Finding the Fourth Proportional to 2,395, 3,592.50 and 663.63

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Solution

The fourth proportional to 2,395, 3,592.50 and 663.63 is: 995.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,395 : 3,592.50 = 663.63 : x
  2. Step 2: Convert to fraction form
    2,395/3,592.50 = 663.63/x
  3. Step 3: Cross multiply
    2,395x = 3,592.50 × 663.63
  4. Step 4: Simplify right side
    2,395x = 2,384,072.81
  5. Step 5: Solve for x
    x = 2,384,072.81/2,395
  6. Step 6: Final answer
    x = 995.44

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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.