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Finding the Fourth Proportional to 2,626.60, 3,940.05 and 678.81

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Solution

The fourth proportional to 2,626.60, 3,940.05 and 678.81 is: 1,018.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,626.60 : 3,940.05 = 678.81 : x
  2. Step 2: Convert to fraction form
    2,626.60/3,940.05 = 678.81/x
  3. Step 3: Cross multiply
    2,626.60x = 3,940.05 × 678.81
  4. Step 4: Simplify right side
    2,626.60x = 2,674,545.34
  5. Step 5: Solve for x
    x = 2,674,545.34/2,626.60
  6. Step 6: Final answer
    x = 1,018.25

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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.