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Finding the Fourth Proportional to 2,628.16, 3,941.26 and 872.84

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Solution

The fourth proportional to 2,628.16, 3,941.26 and 872.84 is: 1,308.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,628.16 : 3,941.26 = 872.84 : x
  2. Step 2: Convert to fraction form
    2,628.16/3,941.26 = 872.84/x
  3. Step 3: Cross multiply
    2,628.16x = 3,941.26 × 872.84
  4. Step 4: Simplify right side
    2,628.16x = 3,440,089.38
  5. Step 5: Solve for x
    x = 3,440,089.38/2,628.16
  6. Step 6: Final answer
    x = 1,308.93

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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.