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Finding the Fourth Proportional to 3,613.78, 5,420.94 and 1,148.50

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Solution

The fourth proportional to 3,613.78, 5,420.94 and 1,148.50 is: 1,722.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,613.78 : 5,420.94 = 1,148.50 : x
  2. Step 2: Convert to fraction form
    3,613.78/5,420.94 = 1,148.50/x
  3. Step 3: Cross multiply
    3,613.78x = 5,420.94 × 1,148.50
  4. Step 4: Simplify right side
    3,613.78x = 6,225,949.59
  5. Step 5: Solve for x
    x = 6,225,949.59/3,613.78
  6. Step 6: Final answer
    x = 1,722.84

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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.