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Finding the Fourth Proportional to 1,874.07, 2,812.36 and 778.43

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Solution

The fourth proportional to 1,874.07, 2,812.36 and 778.43 is: 1,168.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,874.07 : 2,812.36 = 778.43 : x
  2. Step 2: Convert to fraction form
    1,874.07/2,812.36 = 778.43/x
  3. Step 3: Cross multiply
    1,874.07x = 2,812.36 × 778.43
  4. Step 4: Simplify right side
    1,874.07x = 2,189,225.39
  5. Step 5: Solve for x
    x = 2,189,225.39/1,874.07
  6. Step 6: Final answer
    x = 1,168.17

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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.