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Finding the Fourth Proportional to 3,389.84, 4,678 and 1,992.50

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Solution

The fourth proportional to 3,389.84, 4,678 and 1,992.50 is: 2,749.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,389.84 : 4,678 = 1,992.50 : x
  2. Step 2: Convert to fraction form
    3,389.84/4,678 = 1,992.50/x
  3. Step 3: Cross multiply
    3,389.84x = 4,678 × 1,992.50
  4. Step 4: Simplify right side
    3,389.84x = 9,320,915
  5. Step 5: Solve for x
    x = 9,320,915/3,389.84
  6. Step 6: Final answer
    x = 2,749.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.