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Finding the Fourth Proportional to 2,628.84, 3,942.84 and 1,710.92

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Solution

The fourth proportional to 2,628.84, 3,942.84 and 1,710.92 is: 2,566.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,628.84 : 3,942.84 = 1,710.92 : x
  2. Step 2: Convert to fraction form
    2,628.84/3,942.84 = 1,710.92/x
  3. Step 3: Cross multiply
    2,628.84x = 3,942.84 × 1,710.92
  4. Step 4: Simplify right side
    2,628.84x = 6,745,883.81
  5. Step 5: Solve for x
    x = 6,745,883.81/2,628.84
  6. Step 6: Final answer
    x = 2,566.11

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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.