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Finding the Fourth Proportional to 3,126.75, 4,690.03 and 786.75

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Solution

The fourth proportional to 3,126.75, 4,690.03 and 786.75 is: 1,180.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,126.75 : 4,690.03 = 786.75 : x
  2. Step 2: Convert to fraction form
    3,126.75/4,690.03 = 786.75/x
  3. Step 3: Cross multiply
    3,126.75x = 4,690.03 × 786.75
  4. Step 4: Simplify right side
    3,126.75x = 3,689,881.10
  5. Step 5: Solve for x
    x = 3,689,881.10/3,126.75
  6. Step 6: Final answer
    x = 1,180.10

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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.