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Finding the Fourth Proportional to 7,792.57, 11,688.86 and 1,949.18

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Solution

The fourth proportional to 7,792.57, 11,688.86 and 1,949.18 is: 2,923.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,792.57 : 11,688.86 = 1,949.18 : x
  2. Step 2: Convert to fraction form
    7,792.57/11,688.86 = 1,949.18/x
  3. Step 3: Cross multiply
    7,792.57x = 11,688.86 × 1,949.18
  4. Step 4: Simplify right side
    7,792.57x = 22,783,693.35
  5. Step 5: Solve for x
    x = 22,783,693.35/7,792.57
  6. Step 6: Final answer
    x = 2,923.77

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Double scale
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Similar ratio
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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.