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Finding the Fourth Proportional to 3,658.79, 5,478.93 and 2,422.46

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Solution

The fourth proportional to 3,658.79, 5,478.93 and 2,422.46 is: 3,627.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658.79 : 5,478.93 = 2,422.46 : x
  2. Step 2: Convert to fraction form
    3,658.79/5,478.93 = 2,422.46/x
  3. Step 3: Cross multiply
    3,658.79x = 5,478.93 × 2,422.46
  4. Step 4: Simplify right side
    3,658.79x = 13,272,461.37
  5. Step 5: Solve for x
    x = 13,272,461.37/3,658.79
  6. Step 6: Final answer
    x = 3,627.56

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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.