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Finding the Fourth Proportional to 2,637.50, 3,954.36 and 993.92

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Solution

The fourth proportional to 2,637.50, 3,954.36 and 993.92 is: 1,490.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,637.50 : 3,954.36 = 993.92 : x
  2. Step 2: Convert to fraction form
    2,637.50/3,954.36 = 993.92/x
  3. Step 3: Cross multiply
    2,637.50x = 3,954.36 × 993.92
  4. Step 4: Simplify right side
    2,637.50x = 3,930,317.49
  5. Step 5: Solve for x
    x = 3,930,317.49/2,637.50
  6. Step 6: Final answer
    x = 1,490.17

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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.