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Finding the Fourth Proportional to 2,367.80, 3,549 and 906.32

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Solution

The fourth proportional to 2,367.80, 3,549 and 906.32 is: 1,358.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,367.80 : 3,549 = 906.32 : x
  2. Step 2: Convert to fraction form
    2,367.80/3,549 = 906.32/x
  3. Step 3: Cross multiply
    2,367.80x = 3,549 × 906.32
  4. Step 4: Simplify right side
    2,367.80x = 3,216,529.68
  5. Step 5: Solve for x
    x = 3,216,529.68/2,367.80
  6. Step 6: Final answer
    x = 1,358.45

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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.