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Finding the Fourth Proportional to 2,188.60, 3,281.78 and 649.40

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Solution

The fourth proportional to 2,188.60, 3,281.78 and 649.40 is: 973.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.60 : 3,281.78 = 649.40 : x
  2. Step 2: Convert to fraction form
    2,188.60/3,281.78 = 649.40/x
  3. Step 3: Cross multiply
    2,188.60x = 3,281.78 × 649.40
  4. Step 4: Simplify right side
    2,188.60x = 2,131,187.93
  5. Step 5: Solve for x
    x = 2,131,187.93/2,188.60
  6. Step 6: Final answer
    x = 973.77

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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.