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Finding the Fourth Proportional to 2,187.12, 3,280.44 and 648

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Solution

The fourth proportional to 2,187.12, 3,280.44 and 648 is: 971.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,187.12 : 3,280.44 = 648 : x
  2. Step 2: Convert to fraction form
    2,187.12/3,280.44 = 648/x
  3. Step 3: Cross multiply
    2,187.12x = 3,280.44 × 648
  4. Step 4: Simplify right side
    2,187.12x = 2,125,725.12
  5. Step 5: Solve for x
    x = 2,125,725.12/2,187.12
  6. Step 6: Final answer
    x = 971.93

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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.