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Finding the Fourth Proportional to 2,438.15, 3,658.10 and 794.70

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Solution

The fourth proportional to 2,438.15, 3,658.10 and 794.70 is: 1,192.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,438.15 : 3,658.10 = 794.70 : x
  2. Step 2: Convert to fraction form
    2,438.15/3,658.10 = 794.70/x
  3. Step 3: Cross multiply
    2,438.15x = 3,658.10 × 794.70
  4. Step 4: Simplify right side
    2,438.15x = 2,907,088.10
  5. Step 5: Solve for x
    x = 2,907,088.10/2,438.15
  6. Step 6: Final answer
    x = 1,192.34

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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.