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Finding the Fourth Proportional to 7,792.76, 11,689.02 and 1,949.36

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Solution

The fourth proportional to 7,792.76, 11,689.02 and 1,949.36 is: 2,924.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,792.76 : 11,689.02 = 1,949.36 : x
  2. Step 2: Convert to fraction form
    7,792.76/11,689.02 = 1,949.36/x
  3. Step 3: Cross multiply
    7,792.76x = 11,689.02 × 1,949.36
  4. Step 4: Simplify right side
    7,792.76x = 22,786,108.03
  5. Step 5: Solve for x
    x = 22,786,108.03/7,792.76
  6. Step 6: Final answer
    x = 2,924.01

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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.