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Finding the Fourth Proportional to 4,954.92, 7,430.63 and 1,991.94

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Solution

The fourth proportional to 4,954.92, 7,430.63 and 1,991.94 is: 2,987.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,954.92 : 7,430.63 = 1,991.94 : x
  2. Step 2: Convert to fraction form
    4,954.92/7,430.63 = 1,991.94/x
  3. Step 3: Cross multiply
    4,954.92x = 7,430.63 × 1,991.94
  4. Step 4: Simplify right side
    4,954.92x = 14,801,359.16
  5. Step 5: Solve for x
    x = 14,801,359.16/4,954.92
  6. Step 6: Final answer
    x = 2,987.20

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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.