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Finding the Fourth Proportional to 2,188.51, 3,281.77 and 628.16

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Solution

The fourth proportional to 2,188.51, 3,281.77 and 628.16 is: 941.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.51 : 3,281.77 = 628.16 : x
  2. Step 2: Convert to fraction form
    2,188.51/3,281.77 = 628.16/x
  3. Step 3: Cross multiply
    2,188.51x = 3,281.77 × 628.16
  4. Step 4: Simplify right side
    2,188.51x = 2,061,476.64
  5. Step 5: Solve for x
    x = 2,061,476.64/2,188.51
  6. Step 6: Final answer
    x = 941.95

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1.5x scale

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.