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Finding the Fourth Proportional to 3,482.40, 5,221.71 and 2,388

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Solution

The fourth proportional to 3,482.40, 5,221.71 and 2,388 is: 3,580.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,482.40 : 5,221.71 = 2,388 : x
  2. Step 2: Convert to fraction form
    3,482.40/5,221.71 = 2,388/x
  3. Step 3: Cross multiply
    3,482.40x = 5,221.71 × 2,388
  4. Step 4: Simplify right side
    3,482.40x = 12,469,443.48
  5. Step 5: Solve for x
    x = 12,469,443.48/3,482.40
  6. Step 6: Final answer
    x = 3,580.70

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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.