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Finding the Fourth Proportional to 2,792.50, 4,188.86 and 943.80

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Solution

The fourth proportional to 2,792.50, 4,188.86 and 943.80 is: 1,415.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,792.50 : 4,188.86 = 943.80 : x
  2. Step 2: Convert to fraction form
    2,792.50/4,188.86 = 943.80/x
  3. Step 3: Cross multiply
    2,792.50x = 4,188.86 × 943.80
  4. Step 4: Simplify right side
    2,792.50x = 3,953,446.07
  5. Step 5: Solve for x
    x = 3,953,446.07/2,792.50
  6. Step 6: Final answer
    x = 1,415.74

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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.