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Finding the Fourth Proportional to 2,188, 3,282.64 and 649.04

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Solution

The fourth proportional to 2,188, 3,282.64 and 649.04 is: 973.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188 : 3,282.64 = 649.04 : x
  2. Step 2: Convert to fraction form
    2,188/3,282.64 = 649.04/x
  3. Step 3: Cross multiply
    2,188x = 3,282.64 × 649.04
  4. Step 4: Simplify right side
    2,188x = 2,130,564.67
  5. Step 5: Solve for x
    x = 2,130,564.67/2,188
  6. Step 6: Final answer
    x = 973.75

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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.