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Finding the Fourth Proportional to 3,798.48, 5,695.90 and 2,154.60

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Solution

The fourth proportional to 3,798.48, 5,695.90 and 2,154.60 is: 3,230.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,798.48 : 5,695.90 = 2,154.60 : x
  2. Step 2: Convert to fraction form
    3,798.48/5,695.90 = 2,154.60/x
  3. Step 3: Cross multiply
    3,798.48x = 5,695.90 × 2,154.60
  4. Step 4: Simplify right side
    3,798.48x = 12,272,386.14
  5. Step 5: Solve for x
    x = 12,272,386.14/3,798.48
  6. Step 6: Final answer
    x = 3,230.87

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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.