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Finding the Fourth Proportional to 4,856.90, 7,288.90 and 1,936.04

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Solution

The fourth proportional to 4,856.90, 7,288.90 and 1,936.04 is: 2,905.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,856.90 : 7,288.90 = 1,936.04 : x
  2. Step 2: Convert to fraction form
    4,856.90/7,288.90 = 1,936.04/x
  3. Step 3: Cross multiply
    4,856.90x = 7,288.90 × 1,936.04
  4. Step 4: Simplify right side
    4,856.90x = 14,111,615.34
  5. Step 5: Solve for x
    x = 14,111,615.34/4,856.90
  6. Step 6: Final answer
    x = 2,905.48

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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.